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Finding the Fourth Proportional to 2,682.71, 3,702.17 and 1,487.72

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Solution

The fourth proportional to 2,682.71, 3,702.17 and 1,487.72 is: 2,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.71 : 3,702.17 = 1,487.72 : x
  2. Step 2: Convert to fraction form
    2,682.71/3,702.17 = 1,487.72/x
  3. Step 3: Cross multiply
    2,682.71x = 3,702.17 × 1,487.72
  4. Step 4: Simplify right side
    2,682.71x = 5,507,794.65
  5. Step 5: Solve for x
    x = 5,507,794.65/2,682.71
  6. Step 6: Final answer
    x = 2,053.07

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