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Finding the Fourth Proportional to 6,987.60, 9,644.92 and 4,156.97

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Solution

The fourth proportional to 6,987.60, 9,644.92 and 4,156.97 is: 5,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.60 : 9,644.92 = 4,156.97 : x
  2. Step 2: Convert to fraction form
    6,987.60/9,644.92 = 4,156.97/x
  3. Step 3: Cross multiply
    6,987.60x = 9,644.92 × 4,156.97
  4. Step 4: Simplify right side
    6,987.60x = 40,093,584.48
  5. Step 5: Solve for x
    x = 40,093,584.48/6,987.60
  6. Step 6: Final answer
    x = 5,737.82

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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.