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Finding the Fourth Proportional to 3,987.04, 5,979.52 and 1,678.08

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Solution

The fourth proportional to 3,987.04, 5,979.52 and 1,678.08 is: 2,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.04 : 5,979.52 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    3,987.04/5,979.52 = 1,678.08/x
  3. Step 3: Cross multiply
    3,987.04x = 5,979.52 × 1,678.08
  4. Step 4: Simplify right side
    3,987.04x = 10,034,112.92
  5. Step 5: Solve for x
    x = 10,034,112.92/3,987.04
  6. Step 6: Final answer
    x = 2,516.68

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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.