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Finding the Fourth Proportional to 31,920, 47,880 and 10,032

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Solution

The fourth proportional to 31,920, 47,880 and 10,032 is: 15,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920 : 47,880 = 10,032 : x
  2. Step 2: Convert to fraction form
    31,920/47,880 = 10,032/x
  3. Step 3: Cross multiply
    31,920x = 47,880 × 10,032
  4. Step 4: Simplify right side
    31,920x = 480,332,160
  5. Step 5: Solve for x
    x = 480,332,160/31,920
  6. Step 6: Final answer
    x = 15,048

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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.