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Finding the Fourth Proportional to 2,160.39, 3,240.63 and 699.69

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Solution

The fourth proportional to 2,160.39, 3,240.63 and 699.69 is: 1,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.39 : 3,240.63 = 699.69 : x
  2. Step 2: Convert to fraction form
    2,160.39/3,240.63 = 699.69/x
  3. Step 3: Cross multiply
    2,160.39x = 3,240.63 × 699.69
  4. Step 4: Simplify right side
    2,160.39x = 2,267,436.40
  5. Step 5: Solve for x
    x = 2,267,436.40/2,160.39
  6. Step 6: Final answer
    x = 1,049.55

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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.