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Finding the Fourth Proportional to 9,422.18, 13,002 and 5,230.40

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Solution

The fourth proportional to 9,422.18, 13,002 and 5,230.40 is: 7,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.18 : 13,002 = 5,230.40 : x
  2. Step 2: Convert to fraction form
    9,422.18/13,002 = 5,230.40/x
  3. Step 3: Cross multiply
    9,422.18x = 13,002 × 5,230.40
  4. Step 4: Simplify right side
    9,422.18x = 68,005,660.80
  5. Step 5: Solve for x
    x = 68,005,660.80/9,422.18
  6. Step 6: Final answer
    x = 7,217.61

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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.