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Finding the Fourth Proportional to 2,702.46, 3,728.43 and 1,639.92

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Solution

The fourth proportional to 2,702.46, 3,728.43 and 1,639.92 is: 2,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.46 : 3,728.43 = 1,639.92 : x
  2. Step 2: Convert to fraction form
    2,702.46/3,728.43 = 1,639.92/x
  3. Step 3: Cross multiply
    2,702.46x = 3,728.43 × 1,639.92
  4. Step 4: Simplify right side
    2,702.46x = 6,114,326.93
  5. Step 5: Solve for x
    x = 6,114,326.93/2,702.46
  6. Step 6: Final answer
    x = 2,262.50

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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.