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Finding the Fourth Proportional to 8,567.28, 12,857.78 and 8,293.91

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Solution

The fourth proportional to 8,567.28, 12,857.78 and 8,293.91 is: 12,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.28 : 12,857.78 = 8,293.91 : x
  2. Step 2: Convert to fraction form
    8,567.28/12,857.78 = 8,293.91/x
  3. Step 3: Cross multiply
    8,567.28x = 12,857.78 × 8,293.91
  4. Step 4: Simplify right side
    8,567.28x = 106,641,270.12
  5. Step 5: Solve for x
    x = 106,641,270.12/8,567.28
  6. Step 6: Final answer
    x = 12,447.51

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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.