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Finding the Fourth Proportional to 6,243.76, 8,616 and 3,449.20

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Solution

The fourth proportional to 6,243.76, 8,616 and 3,449.20 is: 4,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.76 : 8,616 = 3,449.20 : x
  2. Step 2: Convert to fraction form
    6,243.76/8,616 = 3,449.20/x
  3. Step 3: Cross multiply
    6,243.76x = 8,616 × 3,449.20
  4. Step 4: Simplify right side
    6,243.76x = 29,718,307.20
  5. Step 5: Solve for x
    x = 29,718,307.20/6,243.76
  6. Step 6: Final answer
    x = 4,759.68

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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.