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Finding the Fourth Proportional to 3,408.68, 4,702.61 and 1,972.10

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Solution

The fourth proportional to 3,408.68, 4,702.61 and 1,972.10 is: 2,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.68 : 4,702.61 = 1,972.10 : x
  2. Step 2: Convert to fraction form
    3,408.68/4,702.61 = 1,972.10/x
  3. Step 3: Cross multiply
    3,408.68x = 4,702.61 × 1,972.10
  4. Step 4: Simplify right side
    3,408.68x = 9,273,996.32
  5. Step 5: Solve for x
    x = 9,273,996.32/3,408.68
  6. Step 6: Final answer
    x = 2,720.70

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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.