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Finding the Fourth Proportional to 3,151.50, 4,350.18 and 1,909.50

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Solution

The fourth proportional to 3,151.50, 4,350.18 and 1,909.50 is: 2,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.50 : 4,350.18 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    3,151.50/4,350.18 = 1,909.50/x
  3. Step 3: Cross multiply
    3,151.50x = 4,350.18 × 1,909.50
  4. Step 4: Simplify right side
    3,151.50x = 8,306,668.71
  5. Step 5: Solve for x
    x = 8,306,668.71/3,151.50
  6. Step 6: Final answer
    x = 2,635.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.