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Finding the Fourth Proportional to 2,132.96, 3,199.40 and 652.20

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Solution

The fourth proportional to 2,132.96, 3,199.40 and 652.20 is: 978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.96 : 3,199.40 = 652.20 : x
  2. Step 2: Convert to fraction form
    2,132.96/3,199.40 = 652.20/x
  3. Step 3: Cross multiply
    2,132.96x = 3,199.40 × 652.20
  4. Step 4: Simplify right side
    2,132.96x = 2,086,648.68
  5. Step 5: Solve for x
    x = 2,086,648.68/2,132.96
  6. Step 6: Final answer
    x = 978.29

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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.