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Finding the Fourth Proportional to 31,801.58, 47,702.82 and 9,615.14

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Solution

The fourth proportional to 31,801.58, 47,702.82 and 9,615.14 is: 14,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.58 : 47,702.82 = 9,615.14 : x
  2. Step 2: Convert to fraction form
    31,801.58/47,702.82 = 9,615.14/x
  3. Step 3: Cross multiply
    31,801.58x = 47,702.82 × 9,615.14
  4. Step 4: Simplify right side
    31,801.58x = 458,669,292.69
  5. Step 5: Solve for x
    x = 458,669,292.69/31,801.58
  6. Step 6: Final answer
    x = 14,422.85

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1.5x scale

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.