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Finding the Fourth Proportional to 2,616.85, 3,926.13 and 1,230.13

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Solution

The fourth proportional to 2,616.85, 3,926.13 and 1,230.13 is: 1,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.85 : 3,926.13 = 1,230.13 : x
  2. Step 2: Convert to fraction form
    2,616.85/3,926.13 = 1,230.13/x
  3. Step 3: Cross multiply
    2,616.85x = 3,926.13 × 1,230.13
  4. Step 4: Simplify right side
    2,616.85x = 4,829,650.30
  5. Step 5: Solve for x
    x = 4,829,650.30/2,616.85
  6. Step 6: Final answer
    x = 1,845.60

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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.