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Finding the Fourth Proportional to 2,160.52, 3,239.97 and 699.28

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Solution

The fourth proportional to 2,160.52, 3,239.97 and 699.28 is: 1,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.52 : 3,239.97 = 699.28 : x
  2. Step 2: Convert to fraction form
    2,160.52/3,239.97 = 699.28/x
  3. Step 3: Cross multiply
    2,160.52x = 3,239.97 × 699.28
  4. Step 4: Simplify right side
    2,160.52x = 2,265,647.65
  5. Step 5: Solve for x
    x = 2,265,647.65/2,160.52
  6. Step 6: Final answer
    x = 1,048.66

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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.