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Finding the Fourth Proportional to 22,383.86, 30,889.80 and 12,312.92

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Solution

The fourth proportional to 22,383.86, 30,889.80 and 12,312.92 is: 16,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.86 : 30,889.80 = 12,312.92 : x
  2. Step 2: Convert to fraction form
    22,383.86/30,889.80 = 12,312.92/x
  3. Step 3: Cross multiply
    22,383.86x = 30,889.80 × 12,312.92
  4. Step 4: Simplify right side
    22,383.86x = 380,343,636.22
  5. Step 5: Solve for x
    x = 380,343,636.22/22,383.86
  6. Step 6: Final answer
    x = 16,991.87

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Half scale
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Double scale
Find fourth proportional to 22,384.86, 30,891.18 and 12,313.92
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.