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Finding the Fourth Proportional to 29,466, 40,663.16 and 16,218

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Solution

The fourth proportional to 29,466, 40,663.16 and 16,218 is: 22,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466 : 40,663.16 = 16,218 : x
  2. Step 2: Convert to fraction form
    29,466/40,663.16 = 16,218/x
  3. Step 3: Cross multiply
    29,466x = 40,663.16 × 16,218
  4. Step 4: Simplify right side
    29,466x = 659,475,128.88
  5. Step 5: Solve for x
    x = 659,475,128.88/29,466
  6. Step 6: Final answer
    x = 22,380.88

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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.