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Finding the Fourth Proportional to 2,770.74, 4,156.45 and 1,015.54

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Solution

The fourth proportional to 2,770.74, 4,156.45 and 1,015.54 is: 1,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.74 : 4,156.45 = 1,015.54 : x
  2. Step 2: Convert to fraction form
    2,770.74/4,156.45 = 1,015.54/x
  3. Step 3: Cross multiply
    2,770.74x = 4,156.45 × 1,015.54
  4. Step 4: Simplify right side
    2,770.74x = 4,221,028.30
  5. Step 5: Solve for x
    x = 4,221,028.30/2,770.74
  6. Step 6: Final answer
    x = 1,523.43

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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.