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Finding the Fourth Proportional to 2,382.70, 3,288.42 and 1,387.81

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Solution

The fourth proportional to 2,382.70, 3,288.42 and 1,387.81 is: 1,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.70 : 3,288.42 = 1,387.81 : x
  2. Step 2: Convert to fraction form
    2,382.70/3,288.42 = 1,387.81/x
  3. Step 3: Cross multiply
    2,382.70x = 3,288.42 × 1,387.81
  4. Step 4: Simplify right side
    2,382.70x = 4,563,702.16
  5. Step 5: Solve for x
    x = 4,563,702.16/2,382.70
  6. Step 6: Final answer
    x = 1,915.35

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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.