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Finding the Fourth Proportional to 2,049.60, 3,074.80 and 751.17

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Solution

The fourth proportional to 2,049.60, 3,074.80 and 751.17 is: 1,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.60 : 3,074.80 = 751.17 : x
  2. Step 2: Convert to fraction form
    2,049.60/3,074.80 = 751.17/x
  3. Step 3: Cross multiply
    2,049.60x = 3,074.80 × 751.17
  4. Step 4: Simplify right side
    2,049.60x = 2,309,697.52
  5. Step 5: Solve for x
    x = 2,309,697.52/2,049.60
  6. Step 6: Final answer
    x = 1,126.90

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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.