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Finding the Fourth Proportional to 7,708.55, 11,559.92 and 3,761.55

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Solution

The fourth proportional to 7,708.55, 11,559.92 and 3,761.55 is: 5,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.55 : 11,559.92 = 3,761.55 : x
  2. Step 2: Convert to fraction form
    7,708.55/11,559.92 = 3,761.55/x
  3. Step 3: Cross multiply
    7,708.55x = 11,559.92 × 3,761.55
  4. Step 4: Simplify right side
    7,708.55x = 43,483,198.27
  5. Step 5: Solve for x
    x = 43,483,198.27/7,708.55
  6. Step 6: Final answer
    x = 5,640.91

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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.