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Finding the Fourth Proportional to 2,645.59, 3,649.25 and 1,702.61

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Solution

The fourth proportional to 2,645.59, 3,649.25 and 1,702.61 is: 2,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.59 : 3,649.25 = 1,702.61 : x
  2. Step 2: Convert to fraction form
    2,645.59/3,649.25 = 1,702.61/x
  3. Step 3: Cross multiply
    2,645.59x = 3,649.25 × 1,702.61
  4. Step 4: Simplify right side
    2,645.59x = 6,213,231.30
  5. Step 5: Solve for x
    x = 6,213,231.30/2,645.59
  6. Step 6: Final answer
    x = 2,348.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.