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Finding the Fourth Proportional to 6,001.80, 9,007.20 and 3,078.60

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Solution

The fourth proportional to 6,001.80, 9,007.20 and 3,078.60 is: 4,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.80 : 9,007.20 = 3,078.60 : x
  2. Step 2: Convert to fraction form
    6,001.80/9,007.20 = 3,078.60/x
  3. Step 3: Cross multiply
    6,001.80x = 9,007.20 × 3,078.60
  4. Step 4: Simplify right side
    6,001.80x = 27,729,565.92
  5. Step 5: Solve for x
    x = 27,729,565.92/6,001.80
  6. Step 6: Final answer
    x = 4,620.21

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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.