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Finding the Fourth Proportional to 2,702.31, 4,053.25 and 853.48

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Solution

The fourth proportional to 2,702.31, 4,053.25 and 853.48 is: 1,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.31 : 4,053.25 = 853.48 : x
  2. Step 2: Convert to fraction form
    2,702.31/4,053.25 = 853.48/x
  3. Step 3: Cross multiply
    2,702.31x = 4,053.25 × 853.48
  4. Step 4: Simplify right side
    2,702.31x = 3,459,343.28
  5. Step 5: Solve for x
    x = 3,459,343.28/2,702.31
  6. Step 6: Final answer
    x = 1,280.15

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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.