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Finding the Fourth Proportional to 3,538.75, 5,305.80 and 1,978.91

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Solution

The fourth proportional to 3,538.75, 5,305.80 and 1,978.91 is: 2,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.75 : 5,305.80 = 1,978.91 : x
  2. Step 2: Convert to fraction form
    3,538.75/5,305.80 = 1,978.91/x
  3. Step 3: Cross multiply
    3,538.75x = 5,305.80 × 1,978.91
  4. Step 4: Simplify right side
    3,538.75x = 10,499,720.18
  5. Step 5: Solve for x
    x = 10,499,720.18/3,538.75
  6. Step 6: Final answer
    x = 2,967.07

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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.