Home / 2,076.96-3,115.38-616.14

Finding the Fourth Proportional to 2,076.96, 3,115.38 and 616.14

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Solution

The fourth proportional to 2,076.96, 3,115.38 and 616.14 is: 924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.96 : 3,115.38 = 616.14 : x
  2. Step 2: Convert to fraction form
    2,076.96/3,115.38 = 616.14/x
  3. Step 3: Cross multiply
    2,076.96x = 3,115.38 × 616.14
  4. Step 4: Simplify right side
    2,076.96x = 1,919,510.23
  5. Step 5: Solve for x
    x = 1,919,510.23/2,076.96
  6. Step 6: Final answer
    x = 924.19

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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.