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Finding the Fourth Proportional to 9,382.97, 12,947.07 and 5,403.31

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Solution

The fourth proportional to 9,382.97, 12,947.07 and 5,403.31 is: 7,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.97 : 12,947.07 = 5,403.31 : x
  2. Step 2: Convert to fraction form
    9,382.97/12,947.07 = 5,403.31/x
  3. Step 3: Cross multiply
    9,382.97x = 12,947.07 × 5,403.31
  4. Step 4: Simplify right side
    9,382.97x = 69,957,020.70
  5. Step 5: Solve for x
    x = 69,957,020.70/9,382.97
  6. Step 6: Final answer
    x = 7,455.74

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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.