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Finding the Fourth Proportional to 2,129.10, 3,195.45 and 960.90

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Solution

The fourth proportional to 2,129.10, 3,195.45 and 960.90 is: 1,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.10 : 3,195.45 = 960.90 : x
  2. Step 2: Convert to fraction form
    2,129.10/3,195.45 = 960.90/x
  3. Step 3: Cross multiply
    2,129.10x = 3,195.45 × 960.90
  4. Step 4: Simplify right side
    2,129.10x = 3,070,507.91
  5. Step 5: Solve for x
    x = 3,070,507.91/2,129.10
  6. Step 6: Final answer
    x = 1,442.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.