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Finding the Fourth Proportional to 2,766.64, 4,148.36 and 917.26

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Solution

The fourth proportional to 2,766.64, 4,148.36 and 917.26 is: 1,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.64 : 4,148.36 = 917.26 : x
  2. Step 2: Convert to fraction form
    2,766.64/4,148.36 = 917.26/x
  3. Step 3: Cross multiply
    2,766.64x = 4,148.36 × 917.26
  4. Step 4: Simplify right side
    2,766.64x = 3,805,124.69
  5. Step 5: Solve for x
    x = 3,805,124.69/2,766.64
  6. Step 6: Final answer
    x = 1,375.36

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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.