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Finding the Fourth Proportional to 31,942.80, 47,915.92 and 9,756.80

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Solution

The fourth proportional to 31,942.80, 47,915.92 and 9,756.80 is: 14,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,942.80 : 47,915.92 = 9,756.80 : x
  2. Step 2: Convert to fraction form
    31,942.80/47,915.92 = 9,756.80/x
  3. Step 3: Cross multiply
    31,942.80x = 47,915.92 × 9,756.80
  4. Step 4: Simplify right side
    31,942.80x = 467,506,048.26
  5. Step 5: Solve for x
    x = 467,506,048.26/31,942.80
  6. Step 6: Final answer
    x = 14,635.73

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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.