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Finding the Fourth Proportional to 28,956.52, 39,960.84 and 16,381

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Solution

The fourth proportional to 28,956.52, 39,960.84 and 16,381 is: 22,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956.52 : 39,960.84 = 16,381 : x
  2. Step 2: Convert to fraction form
    28,956.52/39,960.84 = 16,381/x
  3. Step 3: Cross multiply
    28,956.52x = 39,960.84 × 16,381
  4. Step 4: Simplify right side
    28,956.52x = 654,598,520.04
  5. Step 5: Solve for x
    x = 654,598,520.04/28,956.52
  6. Step 6: Final answer
    x = 22,606.26

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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.