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Finding the Fourth Proportional to 7,319.40, 10,978.62 and 2,125.80

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Solution

The fourth proportional to 7,319.40, 10,978.62 and 2,125.80 is: 3,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.40 : 10,978.62 = 2,125.80 : x
  2. Step 2: Convert to fraction form
    7,319.40/10,978.62 = 2,125.80/x
  3. Step 3: Cross multiply
    7,319.40x = 10,978.62 × 2,125.80
  4. Step 4: Simplify right side
    7,319.40x = 23,338,350.40
  5. Step 5: Solve for x
    x = 23,338,350.40/7,319.40
  6. Step 6: Final answer
    x = 3,188.56

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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.