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Finding the Fourth Proportional to 3,081.64, 4,622.42 and 773.14

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Solution

The fourth proportional to 3,081.64, 4,622.42 and 773.14 is: 1,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.64 : 4,622.42 = 773.14 : x
  2. Step 2: Convert to fraction form
    3,081.64/4,622.42 = 773.14/x
  3. Step 3: Cross multiply
    3,081.64x = 4,622.42 × 773.14
  4. Step 4: Simplify right side
    3,081.64x = 3,573,777.80
  5. Step 5: Solve for x
    x = 3,573,777.80/3,081.64
  6. Step 6: Final answer
    x = 1,159.70

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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.