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Finding the Fourth Proportional to 3,538, 4,879.80 and 2,981.52

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Solution

The fourth proportional to 3,538, 4,879.80 and 2,981.52 is: 4,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 4,879.80 = 2,981.52 : x
  2. Step 2: Convert to fraction form
    3,538/4,879.80 = 2,981.52/x
  3. Step 3: Cross multiply
    3,538x = 4,879.80 × 2,981.52
  4. Step 4: Simplify right side
    3,538x = 14,549,221.30
  5. Step 5: Solve for x
    x = 14,549,221.30/3,538
  6. Step 6: Final answer
    x = 4,112.27

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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.