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Finding the Fourth Proportional to 8,657.73, 12,981.04 and 5,146.80

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Solution

The fourth proportional to 8,657.73, 12,981.04 and 5,146.80 is: 7,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.73 : 12,981.04 = 5,146.80 : x
  2. Step 2: Convert to fraction form
    8,657.73/12,981.04 = 5,146.80/x
  3. Step 3: Cross multiply
    8,657.73x = 12,981.04 × 5,146.80
  4. Step 4: Simplify right side
    8,657.73x = 66,810,816.67
  5. Step 5: Solve for x
    x = 66,810,816.67/8,657.73
  6. Step 6: Final answer
    x = 7,716.90

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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.