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Finding the Fourth Proportional to 3,407.73, 4,702.50 and 1,915.71

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Solution

The fourth proportional to 3,407.73, 4,702.50 and 1,915.71 is: 2,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.73 : 4,702.50 = 1,915.71 : x
  2. Step 2: Convert to fraction form
    3,407.73/4,702.50 = 1,915.71/x
  3. Step 3: Cross multiply
    3,407.73x = 4,702.50 × 1,915.71
  4. Step 4: Simplify right side
    3,407.73x = 9,008,626.28
  5. Step 5: Solve for x
    x = 9,008,626.28/3,407.73
  6. Step 6: Final answer
    x = 2,643.59

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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.