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Finding the Fourth Proportional to 2,708.42, 4,062.61 and 760.62

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Solution

The fourth proportional to 2,708.42, 4,062.61 and 760.62 is: 1,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.42 : 4,062.61 = 760.62 : x
  2. Step 2: Convert to fraction form
    2,708.42/4,062.61 = 760.62/x
  3. Step 3: Cross multiply
    2,708.42x = 4,062.61 × 760.62
  4. Step 4: Simplify right side
    2,708.42x = 3,090,100.52
  5. Step 5: Solve for x
    x = 3,090,100.52/2,708.42
  6. Step 6: Final answer
    x = 1,140.93

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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.