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Finding the Fourth Proportional to 2,702.69, 3,729.15 and 1,641.02

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Solution

The fourth proportional to 2,702.69, 3,729.15 and 1,641.02 is: 2,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.69 : 3,729.15 = 1,641.02 : x
  2. Step 2: Convert to fraction form
    2,702.69/3,729.15 = 1,641.02/x
  3. Step 3: Cross multiply
    2,702.69x = 3,729.15 × 1,641.02
  4. Step 4: Simplify right side
    2,702.69x = 6,119,605.07
  5. Step 5: Solve for x
    x = 6,119,605.07/2,702.69
  6. Step 6: Final answer
    x = 2,264.26

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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.