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Finding the Fourth Proportional to 2,765.84, 4,147.90 and 916.54

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Solution

The fourth proportional to 2,765.84, 4,147.90 and 916.54 is: 1,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.84 : 4,147.90 = 916.54 : x
  2. Step 2: Convert to fraction form
    2,765.84/4,147.90 = 916.54/x
  3. Step 3: Cross multiply
    2,765.84x = 4,147.90 × 916.54
  4. Step 4: Simplify right side
    2,765.84x = 3,801,716.27
  5. Step 5: Solve for x
    x = 3,801,716.27/2,765.84
  6. Step 6: Final answer
    x = 1,374.53

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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.