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Finding the Fourth Proportional to 8,382.78, 12,574.17 and 2,836.13

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Solution

The fourth proportional to 8,382.78, 12,574.17 and 2,836.13 is: 4,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.78 : 12,574.17 = 2,836.13 : x
  2. Step 2: Convert to fraction form
    8,382.78/12,574.17 = 2,836.13/x
  3. Step 3: Cross multiply
    8,382.78x = 12,574.17 × 2,836.13
  4. Step 4: Simplify right side
    8,382.78x = 35,661,917.89
  5. Step 5: Solve for x
    x = 35,661,917.89/8,382.78
  6. Step 6: Final answer
    x = 4,254.19

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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.