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Finding the Fourth Proportional to 3,760.74, 5,640.86 and 1,295.61

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Solution

The fourth proportional to 3,760.74, 5,640.86 and 1,295.61 is: 1,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.74 : 5,640.86 = 1,295.61 : x
  2. Step 2: Convert to fraction form
    3,760.74/5,640.86 = 1,295.61/x
  3. Step 3: Cross multiply
    3,760.74x = 5,640.86 × 1,295.61
  4. Step 4: Simplify right side
    3,760.74x = 7,308,326.42
  5. Step 5: Solve for x
    x = 7,308,326.42/3,760.74
  6. Step 6: Final answer
    x = 1,943.32

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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.