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Finding the Fourth Proportional to 15,536, 21,439.80 and 8,462.24

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Solution

The fourth proportional to 15,536, 21,439.80 and 8,462.24 is: 11,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536 : 21,439.80 = 8,462.24 : x
  2. Step 2: Convert to fraction form
    15,536/21,439.80 = 8,462.24/x
  3. Step 3: Cross multiply
    15,536x = 21,439.80 × 8,462.24
  4. Step 4: Simplify right side
    15,536x = 181,428,733.15
  5. Step 5: Solve for x
    x = 181,428,733.15/15,536
  6. Step 6: Final answer
    x = 11,677.96

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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.