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Finding the Fourth Proportional to 29,666, 40,939.20 and 16,418

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Solution

The fourth proportional to 29,666, 40,939.20 and 16,418 is: 22,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666 : 40,939.20 = 16,418 : x
  2. Step 2: Convert to fraction form
    29,666/40,939.20 = 16,418/x
  3. Step 3: Cross multiply
    29,666x = 40,939.20 × 16,418
  4. Step 4: Simplify right side
    29,666x = 672,139,785.60
  5. Step 5: Solve for x
    x = 672,139,785.60/29,666
  6. Step 6: Final answer
    x = 22,656.91

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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.