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Finding the Fourth Proportional to 8,363.76, 12,545.67 and 2,821.00

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Solution

The fourth proportional to 8,363.76, 12,545.67 and 2,821.00 is: 4,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.76 : 12,545.67 = 2,821.00 : x
  2. Step 2: Convert to fraction form
    8,363.76/12,545.67 = 2,821.00/x
  3. Step 3: Cross multiply
    8,363.76x = 12,545.67 × 2,821.00
  4. Step 4: Simplify right side
    8,363.76x = 35,391,316.65
  5. Step 5: Solve for x
    x = 35,391,316.65/8,363.76
  6. Step 6: Final answer
    x = 4,231.51

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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.