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Finding the Fourth Proportional to 2,557.92, 3,842.34 and 1,832.16

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Solution

The fourth proportional to 2,557.92, 3,842.34 and 1,832.16 is: 2,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.92 : 3,842.34 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    2,557.92/3,842.34 = 1,832.16/x
  3. Step 3: Cross multiply
    2,557.92x = 3,842.34 × 1,832.16
  4. Step 4: Simplify right side
    2,557.92x = 7,039,781.65
  5. Step 5: Solve for x
    x = 7,039,781.65/2,557.92
  6. Step 6: Final answer
    x = 2,752.15

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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.