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Finding the Fourth Proportional to 2,129.40, 3,195.99 and 1,143

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Solution

The fourth proportional to 2,129.40, 3,195.99 and 1,143 is: 1,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.40 : 3,195.99 = 1,143 : x
  2. Step 2: Convert to fraction form
    2,129.40/3,195.99 = 1,143/x
  3. Step 3: Cross multiply
    2,129.40x = 3,195.99 × 1,143
  4. Step 4: Simplify right side
    2,129.40x = 3,653,016.57
  5. Step 5: Solve for x
    x = 3,653,016.57/2,129.40
  6. Step 6: Final answer
    x = 1,715.51

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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.