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Finding the Fourth Proportional to 29,672, 40,947.36 and 16,424

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Solution

The fourth proportional to 29,672, 40,947.36 and 16,424 is: 22,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672 : 40,947.36 = 16,424 : x
  2. Step 2: Convert to fraction form
    29,672/40,947.36 = 16,424/x
  3. Step 3: Cross multiply
    29,672x = 40,947.36 × 16,424
  4. Step 4: Simplify right side
    29,672x = 672,519,440.64
  5. Step 5: Solve for x
    x = 672,519,440.64/29,672
  6. Step 6: Final answer
    x = 22,665.12

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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.