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Finding the Fourth Proportional to 2,750.56, 4,126.14 and 876.89

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Solution

The fourth proportional to 2,750.56, 4,126.14 and 876.89 is: 1,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.56 : 4,126.14 = 876.89 : x
  2. Step 2: Convert to fraction form
    2,750.56/4,126.14 = 876.89/x
  3. Step 3: Cross multiply
    2,750.56x = 4,126.14 × 876.89
  4. Step 4: Simplify right side
    2,750.56x = 3,618,181.22
  5. Step 5: Solve for x
    x = 3,618,181.22/2,750.56
  6. Step 6: Final answer
    x = 1,315.44

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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.