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Finding the Fourth Proportional to 2,147.87, 3,220.54 and 760.95

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Solution

The fourth proportional to 2,147.87, 3,220.54 and 760.95 is: 1,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.87 : 3,220.54 = 760.95 : x
  2. Step 2: Convert to fraction form
    2,147.87/3,220.54 = 760.95/x
  3. Step 3: Cross multiply
    2,147.87x = 3,220.54 × 760.95
  4. Step 4: Simplify right side
    2,147.87x = 2,450,668.01
  5. Step 5: Solve for x
    x = 2,450,668.01/2,147.87
  6. Step 6: Final answer
    x = 1,140.97

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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.