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Finding the Fourth Proportional to 8,686.36, 13,019.28 and 3,136.78

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Solution

The fourth proportional to 8,686.36, 13,019.28 and 3,136.78 is: 4,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.36 : 13,019.28 = 3,136.78 : x
  2. Step 2: Convert to fraction form
    8,686.36/13,019.28 = 3,136.78/x
  3. Step 3: Cross multiply
    8,686.36x = 13,019.28 × 3,136.78
  4. Step 4: Simplify right side
    8,686.36x = 40,838,617.12
  5. Step 5: Solve for x
    x = 40,838,617.12/8,686.36
  6. Step 6: Final answer
    x = 4,701.46

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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.