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Finding the Fourth Proportional to 2,138.95, 3,204.65 and 1,486.63

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Solution

The fourth proportional to 2,138.95, 3,204.65 and 1,486.63 is: 2,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.95 : 3,204.65 = 1,486.63 : x
  2. Step 2: Convert to fraction form
    2,138.95/3,204.65 = 1,486.63/x
  3. Step 3: Cross multiply
    2,138.95x = 3,204.65 × 1,486.63
  4. Step 4: Simplify right side
    2,138.95x = 4,764,121.40
  5. Step 5: Solve for x
    x = 4,764,121.40/2,138.95
  6. Step 6: Final answer
    x = 2,227.32

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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.