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Finding the Fourth Proportional to 2,766.54, 4,149.86 and 917.66

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Solution

The fourth proportional to 2,766.54, 4,149.86 and 917.66 is: 1,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.54 : 4,149.86 = 917.66 : x
  2. Step 2: Convert to fraction form
    2,766.54/4,149.86 = 917.66/x
  3. Step 3: Cross multiply
    2,766.54x = 4,149.86 × 917.66
  4. Step 4: Simplify right side
    2,766.54x = 3,808,135.19
  5. Step 5: Solve for x
    x = 3,808,135.19/2,766.54
  6. Step 6: Final answer
    x = 1,376.50

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1.5x scale

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.