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Finding the Fourth Proportional to 31,680, 47,520 and 9,792

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Solution

The fourth proportional to 31,680, 47,520 and 9,792 is: 14,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680 : 47,520 = 9,792 : x
  2. Step 2: Convert to fraction form
    31,680/47,520 = 9,792/x
  3. Step 3: Cross multiply
    31,680x = 47,520 × 9,792
  4. Step 4: Simplify right side
    31,680x = 465,315,840
  5. Step 5: Solve for x
    x = 465,315,840/31,680
  6. Step 6: Final answer
    x = 14,688

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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.