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Finding the Fourth Proportional to 8,581.12, 12,860.04 and 3,644.57

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Solution

The fourth proportional to 8,581.12, 12,860.04 and 3,644.57 is: 5,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.12 : 12,860.04 = 3,644.57 : x
  2. Step 2: Convert to fraction form
    8,581.12/12,860.04 = 3,644.57/x
  3. Step 3: Cross multiply
    8,581.12x = 12,860.04 × 3,644.57
  4. Step 4: Simplify right side
    8,581.12x = 46,869,315.98
  5. Step 5: Solve for x
    x = 46,869,315.98/8,581.12
  6. Step 6: Final answer
    x = 5,461.91

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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.