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Finding the Fourth Proportional to 2,652.68, 3,976.28 and 1,192.25

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Solution

The fourth proportional to 2,652.68, 3,976.28 and 1,192.25 is: 1,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.68 : 3,976.28 = 1,192.25 : x
  2. Step 2: Convert to fraction form
    2,652.68/3,976.28 = 1,192.25/x
  3. Step 3: Cross multiply
    2,652.68x = 3,976.28 × 1,192.25
  4. Step 4: Simplify right side
    2,652.68x = 4,740,719.83
  5. Step 5: Solve for x
    x = 4,740,719.83/2,652.68
  6. Step 6: Final answer
    x = 1,787.14

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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.