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Finding the Fourth Proportional to 8,786.80, 13,178.12 and 2,545.16

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Solution

The fourth proportional to 8,786.80, 13,178.12 and 2,545.16 is: 3,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.80 : 13,178.12 = 2,545.16 : x
  2. Step 2: Convert to fraction form
    8,786.80/13,178.12 = 2,545.16/x
  3. Step 3: Cross multiply
    8,786.80x = 13,178.12 × 2,545.16
  4. Step 4: Simplify right side
    8,786.80x = 33,540,423.90
  5. Step 5: Solve for x
    x = 33,540,423.90/8,786.80
  6. Step 6: Final answer
    x = 3,817.14

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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.