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Finding the Fourth Proportional to 7,149.63, 10,724.73 and 2,219.16

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Solution

The fourth proportional to 7,149.63, 10,724.73 and 2,219.16 is: 3,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.63 : 10,724.73 = 2,219.16 : x
  2. Step 2: Convert to fraction form
    7,149.63/10,724.73 = 2,219.16/x
  3. Step 3: Cross multiply
    7,149.63x = 10,724.73 × 2,219.16
  4. Step 4: Simplify right side
    7,149.63x = 23,799,891.83
  5. Step 5: Solve for x
    x = 23,799,891.83/7,149.63
  6. Step 6: Final answer
    x = 3,328.83

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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.