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Finding the Fourth Proportional to 20,471.84, 28,248.85 and 11,519.16

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Solution

The fourth proportional to 20,471.84, 28,248.85 and 11,519.16 is: 15,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.84 : 28,248.85 = 11,519.16 : x
  2. Step 2: Convert to fraction form
    20,471.84/28,248.85 = 11,519.16/x
  3. Step 3: Cross multiply
    20,471.84x = 28,248.85 × 11,519.16
  4. Step 4: Simplify right side
    20,471.84x = 325,403,022.97
  5. Step 5: Solve for x
    x = 325,403,022.97/20,471.84
  6. Step 6: Final answer
    x = 15,895.15

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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.