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Finding the Fourth Proportional to 15,581.52, 21,502.08 and 8,507.88

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Solution

The fourth proportional to 15,581.52, 21,502.08 and 8,507.88 is: 11,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581.52 : 21,502.08 = 8,507.88 : x
  2. Step 2: Convert to fraction form
    15,581.52/21,502.08 = 8,507.88/x
  3. Step 3: Cross multiply
    15,581.52x = 21,502.08 × 8,507.88
  4. Step 4: Simplify right side
    15,581.52x = 182,937,116.39
  5. Step 5: Solve for x
    x = 182,937,116.39/15,581.52
  6. Step 6: Final answer
    x = 11,740.65

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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.