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Finding the Fourth Proportional to 29,419.74, 40,599.49 and 15,991

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Solution

The fourth proportional to 29,419.74, 40,599.49 and 15,991 is: 22,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,419.74 : 40,599.49 = 15,991 : x
  2. Step 2: Convert to fraction form
    29,419.74/40,599.49 = 15,991/x
  3. Step 3: Cross multiply
    29,419.74x = 40,599.49 × 15,991
  4. Step 4: Simplify right side
    29,419.74x = 649,226,444.59
  5. Step 5: Solve for x
    x = 649,226,444.59/29,419.74
  6. Step 6: Final answer
    x = 22,067.72

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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.