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Finding the Fourth Proportional to 31,500, 47,250 and 13,032

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Solution

The fourth proportional to 31,500, 47,250 and 13,032 is: 19,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500 : 47,250 = 13,032 : x
  2. Step 2: Convert to fraction form
    31,500/47,250 = 13,032/x
  3. Step 3: Cross multiply
    31,500x = 47,250 × 13,032
  4. Step 4: Simplify right side
    31,500x = 615,762,000
  5. Step 5: Solve for x
    x = 615,762,000/31,500
  6. Step 6: Final answer
    x = 19,548

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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.