Home / 2,146.16-3,218.24-976.11

Finding the Fourth Proportional to 2,146.16, 3,218.24 and 976.11

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Solution

The fourth proportional to 2,146.16, 3,218.24 and 976.11 is: 1,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.16 : 3,218.24 = 976.11 : x
  2. Step 2: Convert to fraction form
    2,146.16/3,218.24 = 976.11/x
  3. Step 3: Cross multiply
    2,146.16x = 3,218.24 × 976.11
  4. Step 4: Simplify right side
    2,146.16x = 3,141,356.25
  5. Step 5: Solve for x
    x = 3,141,356.25/2,146.16
  6. Step 6: Final answer
    x = 1,463.71

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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.