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Finding the Fourth Proportional to 3,188.46, 4,400 and 1,791.22

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Solution

The fourth proportional to 3,188.46, 4,400 and 1,791.22 is: 2,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.46 : 4,400 = 1,791.22 : x
  2. Step 2: Convert to fraction form
    3,188.46/4,400 = 1,791.22/x
  3. Step 3: Cross multiply
    3,188.46x = 4,400 × 1,791.22
  4. Step 4: Simplify right side
    3,188.46x = 7,881,368
  5. Step 5: Solve for x
    x = 7,881,368/3,188.46
  6. Step 6: Final answer
    x = 2,471.84

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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.