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Finding the Fourth Proportional to 31,500, 47,257.68 and 9,612

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Solution

The fourth proportional to 31,500, 47,257.68 and 9,612 is: 14,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500 : 47,257.68 = 9,612 : x
  2. Step 2: Convert to fraction form
    31,500/47,257.68 = 9,612/x
  3. Step 3: Cross multiply
    31,500x = 47,257.68 × 9,612
  4. Step 4: Simplify right side
    31,500x = 454,240,820.16
  5. Step 5: Solve for x
    x = 454,240,820.16/31,500
  6. Step 6: Final answer
    x = 14,420.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.