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Finding the Fourth Proportional to 10,978.80, 16,439.40 and 8,041.20

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Solution

The fourth proportional to 10,978.80, 16,439.40 and 8,041.20 is: 12,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.80 : 16,439.40 = 8,041.20 : x
  2. Step 2: Convert to fraction form
    10,978.80/16,439.40 = 8,041.20/x
  3. Step 3: Cross multiply
    10,978.80x = 16,439.40 × 8,041.20
  4. Step 4: Simplify right side
    10,978.80x = 132,192,503.28
  5. Step 5: Solve for x
    x = 132,192,503.28/10,978.80
  6. Step 6: Final answer
    x = 12,040.71

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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.