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Finding the Fourth Proportional to 2,811.47, 4,217.21 and 759.47

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Solution

The fourth proportional to 2,811.47, 4,217.21 and 759.47 is: 1,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.47 : 4,217.21 = 759.47 : x
  2. Step 2: Convert to fraction form
    2,811.47/4,217.21 = 759.47/x
  3. Step 3: Cross multiply
    2,811.47x = 4,217.21 × 759.47
  4. Step 4: Simplify right side
    2,811.47x = 3,202,819.60
  5. Step 5: Solve for x
    x = 3,202,819.60/2,811.47
  6. Step 6: Final answer
    x = 1,139.20

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1.5x scale

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.