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Finding the Fourth Proportional to 9,122.80, 13,685 and 6,687.92

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Solution

The fourth proportional to 9,122.80, 13,685 and 6,687.92 is: 10,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.80 : 13,685 = 6,687.92 : x
  2. Step 2: Convert to fraction form
    9,122.80/13,685 = 6,687.92/x
  3. Step 3: Cross multiply
    9,122.80x = 13,685 × 6,687.92
  4. Step 4: Simplify right side
    9,122.80x = 91,524,185.20
  5. Step 5: Solve for x
    x = 91,524,185.20/9,122.80
  6. Step 6: Final answer
    x = 10,032.47

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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.