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Finding the Fourth Proportional to 2,562.44, 3,842.06 and 1,176.19

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Solution

The fourth proportional to 2,562.44, 3,842.06 and 1,176.19 is: 1,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.44 : 3,842.06 = 1,176.19 : x
  2. Step 2: Convert to fraction form
    2,562.44/3,842.06 = 1,176.19/x
  3. Step 3: Cross multiply
    2,562.44x = 3,842.06 × 1,176.19
  4. Step 4: Simplify right side
    2,562.44x = 4,518,977.07
  5. Step 5: Solve for x
    x = 4,518,977.07/2,562.44
  6. Step 6: Final answer
    x = 1,763.55

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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.