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Finding the Fourth Proportional to 2,138.12, 3,206.94 and 599

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Solution

The fourth proportional to 2,138.12, 3,206.94 and 599 is: 898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.12 : 3,206.94 = 599 : x
  2. Step 2: Convert to fraction form
    2,138.12/3,206.94 = 599/x
  3. Step 3: Cross multiply
    2,138.12x = 3,206.94 × 599
  4. Step 4: Simplify right side
    2,138.12x = 1,920,957.06
  5. Step 5: Solve for x
    x = 1,920,957.06/2,138.12
  6. Step 6: Final answer
    x = 898.43

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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.