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Finding the Fourth Proportional to 8,754, 12,080.52 and 6,517.80

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Solution

The fourth proportional to 8,754, 12,080.52 and 6,517.80 is: 8,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754 : 12,080.52 = 6,517.80 : x
  2. Step 2: Convert to fraction form
    8,754/12,080.52 = 6,517.80/x
  3. Step 3: Cross multiply
    8,754x = 12,080.52 × 6,517.80
  4. Step 4: Simplify right side
    8,754x = 78,738,413.26
  5. Step 5: Solve for x
    x = 78,738,413.26/8,754
  6. Step 6: Final answer
    x = 8,994.56

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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.