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Finding the Fourth Proportional to 2,139.86, 3,209.82 and 600.86

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Solution

The fourth proportional to 2,139.86, 3,209.82 and 600.86 is: 901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.86 : 3,209.82 = 600.86 : x
  2. Step 2: Convert to fraction form
    2,139.86/3,209.82 = 600.86/x
  3. Step 3: Cross multiply
    2,139.86x = 3,209.82 × 600.86
  4. Step 4: Simplify right side
    2,139.86x = 1,928,652.45
  5. Step 5: Solve for x
    x = 1,928,652.45/2,139.86
  6. Step 6: Final answer
    x = 901.30

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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.