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Finding the Fourth Proportional to 15,642.10, 21,585.99 and 8,471.85

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Solution

The fourth proportional to 15,642.10, 21,585.99 and 8,471.85 is: 11,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.10 : 21,585.99 = 8,471.85 : x
  2. Step 2: Convert to fraction form
    15,642.10/21,585.99 = 8,471.85/x
  3. Step 3: Cross multiply
    15,642.10x = 21,585.99 × 8,471.85
  4. Step 4: Simplify right side
    15,642.10x = 182,873,286.24
  5. Step 5: Solve for x
    x = 182,873,286.24/15,642.10
  6. Step 6: Final answer
    x = 11,691.09

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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.