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Finding the Fourth Proportional to 16,220.88, 22,384.80 and 8,768.88

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Solution

The fourth proportional to 16,220.88, 22,384.80 and 8,768.88 is: 12,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.88 : 22,384.80 = 8,768.88 : x
  2. Step 2: Convert to fraction form
    16,220.88/22,384.80 = 8,768.88/x
  3. Step 3: Cross multiply
    16,220.88x = 22,384.80 × 8,768.88
  4. Step 4: Simplify right side
    16,220.88x = 196,289,625.02
  5. Step 5: Solve for x
    x = 196,289,625.02/16,220.88
  6. Step 6: Final answer
    x = 12,101.05

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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.