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Finding the Fourth Proportional to 29,264, 43,896 and 8,487.68

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Solution

The fourth proportional to 29,264, 43,896 and 8,487.68 is: 12,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264 : 43,896 = 8,487.68 : x
  2. Step 2: Convert to fraction form
    29,264/43,896 = 8,487.68/x
  3. Step 3: Cross multiply
    29,264x = 43,896 × 8,487.68
  4. Step 4: Simplify right side
    29,264x = 372,575,201.28
  5. Step 5: Solve for x
    x = 372,575,201.28/29,264
  6. Step 6: Final answer
    x = 12,731.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.