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Finding the Fourth Proportional to 8,117.46, 12,169.71 and 6,393.78

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Solution

The fourth proportional to 8,117.46, 12,169.71 and 6,393.78 is: 9,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.46 : 12,169.71 = 6,393.78 : x
  2. Step 2: Convert to fraction form
    8,117.46/12,169.71 = 6,393.78/x
  3. Step 3: Cross multiply
    8,117.46x = 12,169.71 × 6,393.78
  4. Step 4: Simplify right side
    8,117.46x = 77,810,448.40
  5. Step 5: Solve for x
    x = 77,810,448.40/8,117.46
  6. Step 6: Final answer
    x = 9,585.57

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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.