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Finding the Fourth Proportional to 3,132, 4,323.78 and 2,138.67

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Solution

The fourth proportional to 3,132, 4,323.78 and 2,138.67 is: 2,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,323.78 = 2,138.67 : x
  2. Step 2: Convert to fraction form
    3,132/4,323.78 = 2,138.67/x
  3. Step 3: Cross multiply
    3,132x = 4,323.78 × 2,138.67
  4. Step 4: Simplify right side
    3,132x = 9,247,138.57
  5. Step 5: Solve for x
    x = 9,247,138.57/3,132
  6. Step 6: Final answer
    x = 2,952.47

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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.