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Finding the Fourth Proportional to 2,139.42, 3,207.21 and 984.54

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Solution

The fourth proportional to 2,139.42, 3,207.21 and 984.54 is: 1,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.42 : 3,207.21 = 984.54 : x
  2. Step 2: Convert to fraction form
    2,139.42/3,207.21 = 984.54/x
  3. Step 3: Cross multiply
    2,139.42x = 3,207.21 × 984.54
  4. Step 4: Simplify right side
    2,139.42x = 3,157,626.53
  5. Step 5: Solve for x
    x = 3,157,626.53/2,139.42
  6. Step 6: Final answer
    x = 1,475.93

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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.