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Finding the Fourth Proportional to 2,139.21, 3,208.04 and 906.70

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Solution

The fourth proportional to 2,139.21, 3,208.04 and 906.70 is: 1,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.21 : 3,208.04 = 906.70 : x
  2. Step 2: Convert to fraction form
    2,139.21/3,208.04 = 906.70/x
  3. Step 3: Cross multiply
    2,139.21x = 3,208.04 × 906.70
  4. Step 4: Simplify right side
    2,139.21x = 2,908,729.87
  5. Step 5: Solve for x
    x = 2,908,729.87/2,139.21
  6. Step 6: Final answer
    x = 1,359.72

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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.