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Finding the Fourth Proportional to 7,702.70, 11,542.77 and 4,189.73

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Solution

The fourth proportional to 7,702.70, 11,542.77 and 4,189.73 is: 6,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.70 : 11,542.77 = 4,189.73 : x
  2. Step 2: Convert to fraction form
    7,702.70/11,542.77 = 4,189.73/x
  3. Step 3: Cross multiply
    7,702.70x = 11,542.77 × 4,189.73
  4. Step 4: Simplify right side
    7,702.70x = 48,361,032.04
  5. Step 5: Solve for x
    x = 48,361,032.04/7,702.70
  6. Step 6: Final answer
    x = 6,278.46

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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.