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Finding the Fourth Proportional to 8,781.75, 12,128.63 and 6,816.15

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Solution

The fourth proportional to 8,781.75, 12,128.63 and 6,816.15 is: 9,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.75 : 12,128.63 = 6,816.15 : x
  2. Step 2: Convert to fraction form
    8,781.75/12,128.63 = 6,816.15/x
  3. Step 3: Cross multiply
    8,781.75x = 12,128.63 × 6,816.15
  4. Step 4: Simplify right side
    8,781.75x = 82,670,527.29
  5. Step 5: Solve for x
    x = 82,670,527.29/8,781.75
  6. Step 6: Final answer
    x = 9,413.90

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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.