Home / 2,076.38-3,113.76-777.14

Finding the Fourth Proportional to 2,076.38, 3,113.76 and 777.14

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Solution

The fourth proportional to 2,076.38, 3,113.76 and 777.14 is: 1,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.38 : 3,113.76 = 777.14 : x
  2. Step 2: Convert to fraction form
    2,076.38/3,113.76 = 777.14/x
  3. Step 3: Cross multiply
    2,076.38x = 3,113.76 × 777.14
  4. Step 4: Simplify right side
    2,076.38x = 2,419,827.45
  5. Step 5: Solve for x
    x = 2,419,827.45/2,076.38
  6. Step 6: Final answer
    x = 1,165.41

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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.