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Finding the Fourth Proportional to 6,616.31, 9,919.60 and 3,155.99

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Solution

The fourth proportional to 6,616.31, 9,919.60 and 3,155.99 is: 4,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.31 : 9,919.60 = 3,155.99 : x
  2. Step 2: Convert to fraction form
    6,616.31/9,919.60 = 3,155.99/x
  3. Step 3: Cross multiply
    6,616.31x = 9,919.60 × 3,155.99
  4. Step 4: Simplify right side
    6,616.31x = 31,306,100.92
  5. Step 5: Solve for x
    x = 31,306,100.92/6,616.31
  6. Step 6: Final answer
    x = 4,731.66

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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.