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Finding the Fourth Proportional to 3,191.22, 4,404 and 1,774.98

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Solution

The fourth proportional to 3,191.22, 4,404 and 1,774.98 is: 2,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.22 : 4,404 = 1,774.98 : x
  2. Step 2: Convert to fraction form
    3,191.22/4,404 = 1,774.98/x
  3. Step 3: Cross multiply
    3,191.22x = 4,404 × 1,774.98
  4. Step 4: Simplify right side
    3,191.22x = 7,817,011.92
  5. Step 5: Solve for x
    x = 7,817,011.92/3,191.22
  6. Step 6: Final answer
    x = 2,449.54

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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.