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Finding the Fourth Proportional to 2,160.52, 3,240.09 and 699.32

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Solution

The fourth proportional to 2,160.52, 3,240.09 and 699.32 is: 1,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.52 : 3,240.09 = 699.32 : x
  2. Step 2: Convert to fraction form
    2,160.52/3,240.09 = 699.32/x
  3. Step 3: Cross multiply
    2,160.52x = 3,240.09 × 699.32
  4. Step 4: Simplify right side
    2,160.52x = 2,265,867.84
  5. Step 5: Solve for x
    x = 2,265,867.84/2,160.52
  6. Step 6: Final answer
    x = 1,048.76

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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.