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Finding the Fourth Proportional to 1,882.60, 2,822.94 and 1,188.04

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Solution

The fourth proportional to 1,882.60, 2,822.94 and 1,188.04 is: 1,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.60 : 2,822.94 = 1,188.04 : x
  2. Step 2: Convert to fraction form
    1,882.60/2,822.94 = 1,188.04/x
  3. Step 3: Cross multiply
    1,882.60x = 2,822.94 × 1,188.04
  4. Step 4: Simplify right side
    1,882.60x = 3,353,765.64
  5. Step 5: Solve for x
    x = 3,353,765.64/1,882.60
  6. Step 6: Final answer
    x = 1,781.45

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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.