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Finding the Fourth Proportional to 9,187.92, 12,684.72 and 6,397.20

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Solution

The fourth proportional to 9,187.92, 12,684.72 and 6,397.20 is: 8,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.92 : 12,684.72 = 6,397.20 : x
  2. Step 2: Convert to fraction form
    9,187.92/12,684.72 = 6,397.20/x
  3. Step 3: Cross multiply
    9,187.92x = 12,684.72 × 6,397.20
  4. Step 4: Simplify right side
    9,187.92x = 81,146,690.78
  5. Step 5: Solve for x
    x = 81,146,690.78/9,187.92
  6. Step 6: Final answer
    x = 8,831.89

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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.