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Finding the Fourth Proportional to 2,134.32, 3,201.39 and 653.48

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Solution

The fourth proportional to 2,134.32, 3,201.39 and 653.48 is: 980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.32 : 3,201.39 = 653.48 : x
  2. Step 2: Convert to fraction form
    2,134.32/3,201.39 = 653.48/x
  3. Step 3: Cross multiply
    2,134.32x = 3,201.39 × 653.48
  4. Step 4: Simplify right side
    2,134.32x = 2,092,046.22
  5. Step 5: Solve for x
    x = 2,092,046.22/2,134.32
  6. Step 6: Final answer
    x = 980.19

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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.