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Finding the Fourth Proportional to 22,385.99, 30,892.23 and 12,313.85

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Solution

The fourth proportional to 22,385.99, 30,892.23 and 12,313.85 is: 16,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.99 : 30,892.23 = 12,313.85 : x
  2. Step 2: Convert to fraction form
    22,385.99/30,892.23 = 12,313.85/x
  3. Step 3: Cross multiply
    22,385.99x = 30,892.23 × 12,313.85
  4. Step 4: Simplify right side
    22,385.99x = 380,402,131.92
  5. Step 5: Solve for x
    x = 380,402,131.92/22,385.99
  6. Step 6: Final answer
    x = 16,992.87

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Half scale
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Double scale
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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.