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Finding the Fourth Proportional to 8,411.73, 12,618.98 and 2,864.52

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Solution

The fourth proportional to 8,411.73, 12,618.98 and 2,864.52 is: 4,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.73 : 12,618.98 = 2,864.52 : x
  2. Step 2: Convert to fraction form
    8,411.73/12,618.98 = 2,864.52/x
  3. Step 3: Cross multiply
    8,411.73x = 12,618.98 × 2,864.52
  4. Step 4: Simplify right side
    8,411.73x = 36,147,306.27
  5. Step 5: Solve for x
    x = 36,147,306.27/8,411.73
  6. Step 6: Final answer
    x = 4,297.25

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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.