Home / 1,935.20-2,902.08-780.56

Finding the Fourth Proportional to 1,935.20, 2,902.08 and 780.56

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Solution

The fourth proportional to 1,935.20, 2,902.08 and 780.56 is: 1,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.20 : 2,902.08 = 780.56 : x
  2. Step 2: Convert to fraction form
    1,935.20/2,902.08 = 780.56/x
  3. Step 3: Cross multiply
    1,935.20x = 2,902.08 × 780.56
  4. Step 4: Simplify right side
    1,935.20x = 2,265,247.56
  5. Step 5: Solve for x
    x = 2,265,247.56/1,935.20
  6. Step 6: Final answer
    x = 1,170.55

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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.