Home / 8,387.28-12,569-6,178.64

Finding the Fourth Proportional to 8,387.28, 12,569 and 6,178.64

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Solution

The fourth proportional to 8,387.28, 12,569 and 6,178.64 is: 9,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.28 : 12,569 = 6,178.64 : x
  2. Step 2: Convert to fraction form
    8,387.28/12,569 = 6,178.64/x
  3. Step 3: Cross multiply
    8,387.28x = 12,569 × 6,178.64
  4. Step 4: Simplify right side
    8,387.28x = 77,659,326.16
  5. Step 5: Solve for x
    x = 77,659,326.16/8,387.28
  6. Step 6: Final answer
    x = 9,259.18

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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.