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Finding the Fourth Proportional to 8,611.71, 12,919.68 and 3,681.74

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Solution

The fourth proportional to 8,611.71, 12,919.68 and 3,681.74 is: 5,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.71 : 12,919.68 = 3,681.74 : x
  2. Step 2: Convert to fraction form
    8,611.71/12,919.68 = 3,681.74/x
  3. Step 3: Cross multiply
    8,611.71x = 12,919.68 × 3,681.74
  4. Step 4: Simplify right side
    8,611.71x = 47,566,902.64
  5. Step 5: Solve for x
    x = 47,566,902.64/8,611.71
  6. Step 6: Final answer
    x = 5,523.51

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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.