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Finding the Fourth Proportional to 7,978.80, 11,968.20 and 3,048.60

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Solution

The fourth proportional to 7,978.80, 11,968.20 and 3,048.60 is: 4,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.80 : 11,968.20 = 3,048.60 : x
  2. Step 2: Convert to fraction form
    7,978.80/11,968.20 = 3,048.60/x
  3. Step 3: Cross multiply
    7,978.80x = 11,968.20 × 3,048.60
  4. Step 4: Simplify right side
    7,978.80x = 36,486,254.52
  5. Step 5: Solve for x
    x = 36,486,254.52/7,978.80
  6. Step 6: Final answer
    x = 4,572.90

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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.