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Finding the Fourth Proportional to 11,718.57, 17,581.11 and 5,878.47

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Solution

The fourth proportional to 11,718.57, 17,581.11 and 5,878.47 is: 8,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.57 : 17,581.11 = 5,878.47 : x
  2. Step 2: Convert to fraction form
    11,718.57/17,581.11 = 5,878.47/x
  3. Step 3: Cross multiply
    11,718.57x = 17,581.11 × 5,878.47
  4. Step 4: Simplify right side
    11,718.57x = 103,350,027.70
  5. Step 5: Solve for x
    x = 103,350,027.70/11,718.57
  6. Step 6: Final answer
    x = 8,819.34

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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.