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Finding the Fourth Proportional to 3,470.27, 4,788.41 and 1,978.22

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Solution

The fourth proportional to 3,470.27, 4,788.41 and 1,978.22 is: 2,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.27 : 4,788.41 = 1,978.22 : x
  2. Step 2: Convert to fraction form
    3,470.27/4,788.41 = 1,978.22/x
  3. Step 3: Cross multiply
    3,470.27x = 4,788.41 × 1,978.22
  4. Step 4: Simplify right side
    3,470.27x = 9,472,494.60
  5. Step 5: Solve for x
    x = 9,472,494.60/3,470.27
  6. Step 6: Final answer
    x = 2,729.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.