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Finding the Fourth Proportional to 9,361.68, 12,920.42 and 5,382.70

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Solution

The fourth proportional to 9,361.68, 12,920.42 and 5,382.70 is: 7,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.68 : 12,920.42 = 5,382.70 : x
  2. Step 2: Convert to fraction form
    9,361.68/12,920.42 = 5,382.70/x
  3. Step 3: Cross multiply
    9,361.68x = 12,920.42 × 5,382.70
  4. Step 4: Simplify right side
    9,361.68x = 69,546,744.73
  5. Step 5: Solve for x
    x = 69,546,744.73/9,361.68
  6. Step 6: Final answer
    x = 7,428.87

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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.