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Finding the Fourth Proportional to 31,596.32, 47,397 and 10,820

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Solution

The fourth proportional to 31,596.32, 47,397 and 10,820 is: 16,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.32 : 47,397 = 10,820 : x
  2. Step 2: Convert to fraction form
    31,596.32/47,397 = 10,820/x
  3. Step 3: Cross multiply
    31,596.32x = 47,397 × 10,820
  4. Step 4: Simplify right side
    31,596.32x = 512,835,540
  5. Step 5: Solve for x
    x = 512,835,540/31,596.32
  6. Step 6: Final answer
    x = 16,230.86

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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.