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Finding the Fourth Proportional to 8,754, 12,086 and 5,615.64

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Solution

The fourth proportional to 8,754, 12,086 and 5,615.64 is: 7,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754 : 12,086 = 5,615.64 : x
  2. Step 2: Convert to fraction form
    8,754/12,086 = 5,615.64/x
  3. Step 3: Cross multiply
    8,754x = 12,086 × 5,615.64
  4. Step 4: Simplify right side
    8,754x = 67,870,625.04
  5. Step 5: Solve for x
    x = 67,870,625.04/8,754
  6. Step 6: Final answer
    x = 7,753.10

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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.