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Finding the Fourth Proportional to 29,104, 40,163.52 and 15,856

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Solution

The fourth proportional to 29,104, 40,163.52 and 15,856 is: 21,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,104 : 40,163.52 = 15,856 : x
  2. Step 2: Convert to fraction form
    29,104/40,163.52 = 15,856/x
  3. Step 3: Cross multiply
    29,104x = 40,163.52 × 15,856
  4. Step 4: Simplify right side
    29,104x = 636,832,773.12
  5. Step 5: Solve for x
    x = 636,832,773.12/29,104
  6. Step 6: Final answer
    x = 21,881.28

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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.