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Finding the Fourth Proportional to 9,382.78, 12,947.71 and 5,132.99

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Solution

The fourth proportional to 9,382.78, 12,947.71 and 5,132.99 is: 7,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.78 : 12,947.71 = 5,132.99 : x
  2. Step 2: Convert to fraction form
    9,382.78/12,947.71 = 5,132.99/x
  3. Step 3: Cross multiply
    9,382.78x = 12,947.71 × 5,132.99
  4. Step 4: Simplify right side
    9,382.78x = 66,460,465.95
  5. Step 5: Solve for x
    x = 66,460,465.95/9,382.78
  6. Step 6: Final answer
    x = 7,083.24

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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.