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Finding the Fourth Proportional to 8,065.20, 12,097.80 and 3,067.50

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Solution

The fourth proportional to 8,065.20, 12,097.80 and 3,067.50 is: 4,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.20 : 12,097.80 = 3,067.50 : x
  2. Step 2: Convert to fraction form
    8,065.20/12,097.80 = 3,067.50/x
  3. Step 3: Cross multiply
    8,065.20x = 12,097.80 × 3,067.50
  4. Step 4: Simplify right side
    8,065.20x = 37,110,001.50
  5. Step 5: Solve for x
    x = 37,110,001.50/8,065.20
  6. Step 6: Final answer
    x = 4,601.25

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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.