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Finding the Fourth Proportional to 31,687.61, 47,538.70 and 10,630.44

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Solution

The fourth proportional to 31,687.61, 47,538.70 and 10,630.44 is: 15,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.61 : 47,538.70 = 10,630.44 : x
  2. Step 2: Convert to fraction form
    31,687.61/47,538.70 = 10,630.44/x
  3. Step 3: Cross multiply
    31,687.61x = 47,538.70 × 10,630.44
  4. Step 4: Simplify right side
    31,687.61x = 505,357,271.45
  5. Step 5: Solve for x
    x = 505,357,271.45/31,687.61
  6. Step 6: Final answer
    x = 15,948.11

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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.