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Finding the Fourth Proportional to 6,909.87, 9,537.16 and 4,391.49

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Solution

The fourth proportional to 6,909.87, 9,537.16 and 4,391.49 is: 6,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.87 : 9,537.16 = 4,391.49 : x
  2. Step 2: Convert to fraction form
    6,909.87/9,537.16 = 4,391.49/x
  3. Step 3: Cross multiply
    6,909.87x = 9,537.16 × 4,391.49
  4. Step 4: Simplify right side
    6,909.87x = 41,882,296.97
  5. Step 5: Solve for x
    x = 41,882,296.97/6,909.87
  6. Step 6: Final answer
    x = 6,061.23

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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.