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Finding the Fourth Proportional to 8,641, 12,963.82 and 3,450.52

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Solution

The fourth proportional to 8,641, 12,963.82 and 3,450.52 is: 5,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641 : 12,963.82 = 3,450.52 : x
  2. Step 2: Convert to fraction form
    8,641/12,963.82 = 3,450.52/x
  3. Step 3: Cross multiply
    8,641x = 12,963.82 × 3,450.52
  4. Step 4: Simplify right side
    8,641x = 44,731,920.19
  5. Step 5: Solve for x
    x = 44,731,920.19/8,641
  6. Step 6: Final answer
    x = 5,176.71

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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.