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Finding the Fourth Proportional to 8,754, 12,102.12 and 8,386.80

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Solution

The fourth proportional to 8,754, 12,102.12 and 8,386.80 is: 11,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754 : 12,102.12 = 8,386.80 : x
  2. Step 2: Convert to fraction form
    8,754/12,102.12 = 8,386.80/x
  3. Step 3: Cross multiply
    8,754x = 12,102.12 × 8,386.80
  4. Step 4: Simplify right side
    8,754x = 101,498,060.02
  5. Step 5: Solve for x
    x = 101,498,060.02/8,754
  6. Step 6: Final answer
    x = 11,594.48

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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.