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Finding the Fourth Proportional to 2,677.38, 4,016.87 and 946

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Solution

The fourth proportional to 2,677.38, 4,016.87 and 946 is: 1,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.38 : 4,016.87 = 946 : x
  2. Step 2: Convert to fraction form
    2,677.38/4,016.87 = 946/x
  3. Step 3: Cross multiply
    2,677.38x = 4,016.87 × 946
  4. Step 4: Simplify right side
    2,677.38x = 3,799,959.02
  5. Step 5: Solve for x
    x = 3,799,959.02/2,677.38
  6. Step 6: Final answer
    x = 1,419.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.