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Finding the Fourth Proportional to 29,671, 40,945.98 and 16,423

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Solution

The fourth proportional to 29,671, 40,945.98 and 16,423 is: 22,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671 : 40,945.98 = 16,423 : x
  2. Step 2: Convert to fraction form
    29,671/40,945.98 = 16,423/x
  3. Step 3: Cross multiply
    29,671x = 40,945.98 × 16,423
  4. Step 4: Simplify right side
    29,671x = 672,455,829.54
  5. Step 5: Solve for x
    x = 672,455,829.54/29,671
  6. Step 6: Final answer
    x = 22,663.74

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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.