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Finding the Fourth Proportional to 2,137.97, 3,206.96 and 598.97

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Solution

The fourth proportional to 2,137.97, 3,206.96 and 598.97 is: 898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.97 : 3,206.96 = 598.97 : x
  2. Step 2: Convert to fraction form
    2,137.97/3,206.96 = 598.97/x
  3. Step 3: Cross multiply
    2,137.97x = 3,206.96 × 598.97
  4. Step 4: Simplify right side
    2,137.97x = 1,920,853.80
  5. Step 5: Solve for x
    x = 1,920,853.80/2,137.97
  6. Step 6: Final answer
    x = 898.45

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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.