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Finding the Fourth Proportional to 3,407.67, 4,702.32 and 1,915.31

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Solution

The fourth proportional to 3,407.67, 4,702.32 and 1,915.31 is: 2,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.67 : 4,702.32 = 1,915.31 : x
  2. Step 2: Convert to fraction form
    3,407.67/4,702.32 = 1,915.31/x
  3. Step 3: Cross multiply
    3,407.67x = 4,702.32 × 1,915.31
  4. Step 4: Simplify right side
    3,407.67x = 9,006,377.01
  5. Step 5: Solve for x
    x = 9,006,377.01/3,407.67
  6. Step 6: Final answer
    x = 2,642.97

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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.