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Finding the Fourth Proportional to 8,642.87, 12,964.50 and 3,377.64

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Solution

The fourth proportional to 8,642.87, 12,964.50 and 3,377.64 is: 5,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.87 : 12,964.50 = 3,377.64 : x
  2. Step 2: Convert to fraction form
    8,642.87/12,964.50 = 3,377.64/x
  3. Step 3: Cross multiply
    8,642.87x = 12,964.50 × 3,377.64
  4. Step 4: Simplify right side
    8,642.87x = 43,789,413.78
  5. Step 5: Solve for x
    x = 43,789,413.78/8,642.87
  6. Step 6: Final answer
    x = 5,066.54

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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.