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Finding the Fourth Proportional to 7,319.80, 10,981.02 and 3,424.18

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Solution

The fourth proportional to 7,319.80, 10,981.02 and 3,424.18 is: 5,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.80 : 10,981.02 = 3,424.18 : x
  2. Step 2: Convert to fraction form
    7,319.80/10,981.02 = 3,424.18/x
  3. Step 3: Cross multiply
    7,319.80x = 10,981.02 × 3,424.18
  4. Step 4: Simplify right side
    7,319.80x = 37,600,989.06
  5. Step 5: Solve for x
    x = 37,600,989.06/7,319.80
  6. Step 6: Final answer
    x = 5,136.89

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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.