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Finding the Fourth Proportional to 29,691.69, 40,978.08 and 18,368.70

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Solution

The fourth proportional to 29,691.69, 40,978.08 and 18,368.70 is: 25,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.69 : 40,978.08 = 18,368.70 : x
  2. Step 2: Convert to fraction form
    29,691.69/40,978.08 = 18,368.70/x
  3. Step 3: Cross multiply
    29,691.69x = 40,978.08 × 18,368.70
  4. Step 4: Simplify right side
    29,691.69x = 752,714,058.10
  5. Step 5: Solve for x
    x = 752,714,058.10/29,691.69
  6. Step 6: Final answer
    x = 25,351.00

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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.