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Finding the Fourth Proportional to 7,149.78, 10,724.76 and 2,219.40

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Solution

The fourth proportional to 7,149.78, 10,724.76 and 2,219.40 is: 3,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.78 : 10,724.76 = 2,219.40 : x
  2. Step 2: Convert to fraction form
    7,149.78/10,724.76 = 2,219.40/x
  3. Step 3: Cross multiply
    7,149.78x = 10,724.76 × 2,219.40
  4. Step 4: Simplify right side
    7,149.78x = 23,802,532.34
  5. Step 5: Solve for x
    x = 23,802,532.34/7,149.78
  6. Step 6: Final answer
    x = 3,329.13

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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.