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Finding the Fourth Proportional to 9,321.75, 13,988.11 and 6,686.42

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Solution

The fourth proportional to 9,321.75, 13,988.11 and 6,686.42 is: 10,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.75 : 13,988.11 = 6,686.42 : x
  2. Step 2: Convert to fraction form
    9,321.75/13,988.11 = 6,686.42/x
  3. Step 3: Cross multiply
    9,321.75x = 13,988.11 × 6,686.42
  4. Step 4: Simplify right side
    9,321.75x = 93,530,378.47
  5. Step 5: Solve for x
    x = 93,530,378.47/9,321.75
  6. Step 6: Final answer
    x = 10,033.56

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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.