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Finding the Fourth Proportional to 11,143.77, 16,716.48 and 3,748.20

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Solution

The fourth proportional to 11,143.77, 16,716.48 and 3,748.20 is: 5,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.77 : 16,716.48 = 3,748.20 : x
  2. Step 2: Convert to fraction form
    11,143.77/16,716.48 = 3,748.20/x
  3. Step 3: Cross multiply
    11,143.77x = 16,716.48 × 3,748.20
  4. Step 4: Simplify right side
    11,143.77x = 62,656,766.18
  5. Step 5: Solve for x
    x = 62,656,766.18/11,143.77
  6. Step 6: Final answer
    x = 5,622.58

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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.