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Finding the Fourth Proportional to 16,294.68, 22,482.77 and 9,921.20

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Solution

The fourth proportional to 16,294.68, 22,482.77 and 9,921.20 is: 13,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.68 : 22,482.77 = 9,921.20 : x
  2. Step 2: Convert to fraction form
    16,294.68/22,482.77 = 9,921.20/x
  3. Step 3: Cross multiply
    16,294.68x = 22,482.77 × 9,921.20
  4. Step 4: Simplify right side
    16,294.68x = 223,055,895.70
  5. Step 5: Solve for x
    x = 223,055,895.70/16,294.68
  6. Step 6: Final answer
    x = 13,688.88

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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.