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Finding the Fourth Proportional to 31,915.44, 47,866.97 and 12,189.31

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Solution

The fourth proportional to 31,915.44, 47,866.97 and 12,189.31 is: 18,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.44 : 47,866.97 = 12,189.31 : x
  2. Step 2: Convert to fraction form
    31,915.44/47,866.97 = 12,189.31/x
  3. Step 3: Cross multiply
    31,915.44x = 47,866.97 × 12,189.31
  4. Step 4: Simplify right side
    31,915.44x = 583,465,246.90
  5. Step 5: Solve for x
    x = 583,465,246.90/31,915.44
  6. Step 6: Final answer
    x = 18,281.60

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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.