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Finding the Fourth Proportional to 12,702.41, 17,517.90 and 8,221.49

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Solution

The fourth proportional to 12,702.41, 17,517.90 and 8,221.49 is: 11,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.41 : 17,517.90 = 8,221.49 : x
  2. Step 2: Convert to fraction form
    12,702.41/17,517.90 = 8,221.49/x
  3. Step 3: Cross multiply
    12,702.41x = 17,517.90 × 8,221.49
  4. Step 4: Simplify right side
    12,702.41x = 144,023,239.67
  5. Step 5: Solve for x
    x = 144,023,239.67/12,702.41
  6. Step 6: Final answer
    x = 11,338.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.