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Finding the Fourth Proportional to 1,902.32, 2,850.48 and 1,251.62

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Solution

The fourth proportional to 1,902.32, 2,850.48 and 1,251.62 is: 1,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.32 : 2,850.48 = 1,251.62 : x
  2. Step 2: Convert to fraction form
    1,902.32/2,850.48 = 1,251.62/x
  3. Step 3: Cross multiply
    1,902.32x = 2,850.48 × 1,251.62
  4. Step 4: Simplify right side
    1,902.32x = 3,567,717.78
  5. Step 5: Solve for x
    x = 3,567,717.78/1,902.32
  6. Step 6: Final answer
    x = 1,875.46

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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.