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Finding the Fourth Proportional to 31,937.40, 47,913.30 and 9,751.80

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Solution

The fourth proportional to 31,937.40, 47,913.30 and 9,751.80 is: 14,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.40 : 47,913.30 = 9,751.80 : x
  2. Step 2: Convert to fraction form
    31,937.40/47,913.30 = 9,751.80/x
  3. Step 3: Cross multiply
    31,937.40x = 47,913.30 × 9,751.80
  4. Step 4: Simplify right side
    31,937.40x = 467,240,918.94
  5. Step 5: Solve for x
    x = 467,240,918.94/31,937.40
  6. Step 6: Final answer
    x = 14,629.90

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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.