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Finding the Fourth Proportional to 2,650.52, 3,975.42 and 702.56

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Solution

The fourth proportional to 2,650.52, 3,975.42 and 702.56 is: 1,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.52 : 3,975.42 = 702.56 : x
  2. Step 2: Convert to fraction form
    2,650.52/3,975.42 = 702.56/x
  3. Step 3: Cross multiply
    2,650.52x = 3,975.42 × 702.56
  4. Step 4: Simplify right side
    2,650.52x = 2,792,971.08
  5. Step 5: Solve for x
    x = 2,792,971.08/2,650.52
  6. Step 6: Final answer
    x = 1,053.74

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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.