Home / 1,921.19-2,882.66-946.76

Finding the Fourth Proportional to 1,921.19, 2,882.66 and 946.76

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Solution

The fourth proportional to 1,921.19, 2,882.66 and 946.76 is: 1,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.19 : 2,882.66 = 946.76 : x
  2. Step 2: Convert to fraction form
    1,921.19/2,882.66 = 946.76/x
  3. Step 3: Cross multiply
    1,921.19x = 2,882.66 × 946.76
  4. Step 4: Simplify right side
    1,921.19x = 2,729,168.03
  5. Step 5: Solve for x
    x = 2,729,168.03/1,921.19
  6. Step 6: Final answer
    x = 1,420.56

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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.