Home / 2,042.11-3,065.19-946.72

Finding the Fourth Proportional to 2,042.11, 3,065.19 and 946.72

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Solution

The fourth proportional to 2,042.11, 3,065.19 and 946.72 is: 1,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.11 : 3,065.19 = 946.72 : x
  2. Step 2: Convert to fraction form
    2,042.11/3,065.19 = 946.72/x
  3. Step 3: Cross multiply
    2,042.11x = 3,065.19 × 946.72
  4. Step 4: Simplify right side
    2,042.11x = 2,901,876.68
  5. Step 5: Solve for x
    x = 2,901,876.68/2,042.11
  6. Step 6: Final answer
    x = 1,421.02

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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.