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Finding the Fourth Proportional to 8,517.68, 11,751.12 and 6,284.92

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Solution

The fourth proportional to 8,517.68, 11,751.12 and 6,284.92 is: 8,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.68 : 11,751.12 = 6,284.92 : x
  2. Step 2: Convert to fraction form
    8,517.68/11,751.12 = 6,284.92/x
  3. Step 3: Cross multiply
    8,517.68x = 11,751.12 × 6,284.92
  4. Step 4: Simplify right side
    8,517.68x = 73,854,849.11
  5. Step 5: Solve for x
    x = 73,854,849.11/8,517.68
  6. Step 6: Final answer
    x = 8,670.77

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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.