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Finding the Fourth Proportional to 3,840.54, 5,275.22 and 3,766.74

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Solution

The fourth proportional to 3,840.54, 5,275.22 and 3,766.74 is: 5,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.54 : 5,275.22 = 3,766.74 : x
  2. Step 2: Convert to fraction form
    3,840.54/5,275.22 = 3,766.74/x
  3. Step 3: Cross multiply
    3,840.54x = 5,275.22 × 3,766.74
  4. Step 4: Simplify right side
    3,840.54x = 19,870,363.35
  5. Step 5: Solve for x
    x = 19,870,363.35/3,840.54
  6. Step 6: Final answer
    x = 5,173.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.