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Finding the Fourth Proportional to 2,702.64, 3,725.16 and 2,142.08

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Solution

The fourth proportional to 2,702.64, 3,725.16 and 2,142.08 is: 2,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.64 : 3,725.16 = 2,142.08 : x
  2. Step 2: Convert to fraction form
    2,702.64/3,725.16 = 2,142.08/x
  3. Step 3: Cross multiply
    2,702.64x = 3,725.16 × 2,142.08
  4. Step 4: Simplify right side
    2,702.64x = 7,979,590.73
  5. Step 5: Solve for x
    x = 7,979,590.73/2,702.64
  6. Step 6: Final answer
    x = 2,952.52

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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.