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Finding the Fourth Proportional to 29,654, 40,922.52 and 16,406

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Solution

The fourth proportional to 29,654, 40,922.52 and 16,406 is: 22,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654 : 40,922.52 = 16,406 : x
  2. Step 2: Convert to fraction form
    29,654/40,922.52 = 16,406/x
  3. Step 3: Cross multiply
    29,654x = 40,922.52 × 16,406
  4. Step 4: Simplify right side
    29,654x = 671,374,863.12
  5. Step 5: Solve for x
    x = 671,374,863.12/29,654
  6. Step 6: Final answer
    x = 22,640.28

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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.