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Finding the Fourth Proportional to 8,611.92, 12,916.46 and 3,064.43

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Solution

The fourth proportional to 8,611.92, 12,916.46 and 3,064.43 is: 4,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.92 : 12,916.46 = 3,064.43 : x
  2. Step 2: Convert to fraction form
    8,611.92/12,916.46 = 3,064.43/x
  3. Step 3: Cross multiply
    8,611.92x = 12,916.46 × 3,064.43
  4. Step 4: Simplify right side
    8,611.92x = 39,581,627.47
  5. Step 5: Solve for x
    x = 39,581,627.47/8,611.92
  6. Step 6: Final answer
    x = 4,596.14

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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.