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Finding the Fourth Proportional to 3,076.38, 4,614.34 and 885.28

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Solution

The fourth proportional to 3,076.38, 4,614.34 and 885.28 is: 1,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.38 : 4,614.34 = 885.28 : x
  2. Step 2: Convert to fraction form
    3,076.38/4,614.34 = 885.28/x
  3. Step 3: Cross multiply
    3,076.38x = 4,614.34 × 885.28
  4. Step 4: Simplify right side
    3,076.38x = 4,084,981.97
  5. Step 5: Solve for x
    x = 4,084,981.97/3,076.38
  6. Step 6: Final answer
    x = 1,327.85

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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.