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Finding the Fourth Proportional to 3,874.70, 5,348.61 and 2,616.50

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Solution

The fourth proportional to 3,874.70, 5,348.61 and 2,616.50 is: 3,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.70 : 5,348.61 = 2,616.50 : x
  2. Step 2: Convert to fraction form
    3,874.70/5,348.61 = 2,616.50/x
  3. Step 3: Cross multiply
    3,874.70x = 5,348.61 × 2,616.50
  4. Step 4: Simplify right side
    3,874.70x = 13,994,638.07
  5. Step 5: Solve for x
    x = 13,994,638.07/3,874.70
  6. Step 6: Final answer
    x = 3,611.80

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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.