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Finding the Fourth Proportional to 2,143.52, 3,202.72 and 2,097.44

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Solution

The fourth proportional to 2,143.52, 3,202.72 and 2,097.44 is: 3,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.52 : 3,202.72 = 2,097.44 : x
  2. Step 2: Convert to fraction form
    2,143.52/3,202.72 = 2,097.44/x
  3. Step 3: Cross multiply
    2,143.52x = 3,202.72 × 2,097.44
  4. Step 4: Simplify right side
    2,143.52x = 6,717,513.04
  5. Step 5: Solve for x
    x = 6,717,513.04/2,143.52
  6. Step 6: Final answer
    x = 3,133.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.