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Finding the Fourth Proportional to 2,077.28, 3,113.28 and 777.20

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Solution

The fourth proportional to 2,077.28, 3,113.28 and 777.20 is: 1,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.28 : 3,113.28 = 777.20 : x
  2. Step 2: Convert to fraction form
    2,077.28/3,113.28 = 777.20/x
  3. Step 3: Cross multiply
    2,077.28x = 3,113.28 × 777.20
  4. Step 4: Simplify right side
    2,077.28x = 2,419,641.22
  5. Step 5: Solve for x
    x = 2,419,641.22/2,077.28
  6. Step 6: Final answer
    x = 1,164.81

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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.