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Finding the Fourth Proportional to 2,139.24, 3,207.78 and 984

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Solution

The fourth proportional to 2,139.24, 3,207.78 and 984 is: 1,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.24 : 3,207.78 = 984 : x
  2. Step 2: Convert to fraction form
    2,139.24/3,207.78 = 984/x
  3. Step 3: Cross multiply
    2,139.24x = 3,207.78 × 984
  4. Step 4: Simplify right side
    2,139.24x = 3,156,455.52
  5. Step 5: Solve for x
    x = 3,156,455.52/2,139.24
  6. Step 6: Final answer
    x = 1,475.50

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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.