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Finding the Fourth Proportional to 3,188.64, 4,400.73 and 1,791.39

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Solution

The fourth proportional to 3,188.64, 4,400.73 and 1,791.39 is: 2,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.64 : 4,400.73 = 1,791.39 : x
  2. Step 2: Convert to fraction form
    3,188.64/4,400.73 = 1,791.39/x
  3. Step 3: Cross multiply
    3,188.64x = 4,400.73 × 1,791.39
  4. Step 4: Simplify right side
    3,188.64x = 7,883,423.71
  5. Step 5: Solve for x
    x = 7,883,423.71/3,188.64
  6. Step 6: Final answer
    x = 2,472.35

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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.