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Finding the Fourth Proportional to 3,938.76, 5,905.02 and 2,702.40

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Solution

The fourth proportional to 3,938.76, 5,905.02 and 2,702.40 is: 4,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.76 : 5,905.02 = 2,702.40 : x
  2. Step 2: Convert to fraction form
    3,938.76/5,905.02 = 2,702.40/x
  3. Step 3: Cross multiply
    3,938.76x = 5,905.02 × 2,702.40
  4. Step 4: Simplify right side
    3,938.76x = 15,957,726.05
  5. Step 5: Solve for x
    x = 15,957,726.05/3,938.76
  6. Step 6: Final answer
    x = 4,051.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.