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Finding the Fourth Proportional to 3,104.70, 4,658.21 and 1,439.64

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Solution

The fourth proportional to 3,104.70, 4,658.21 and 1,439.64 is: 2,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.70 : 4,658.21 = 1,439.64 : x
  2. Step 2: Convert to fraction form
    3,104.70/4,658.21 = 1,439.64/x
  3. Step 3: Cross multiply
    3,104.70x = 4,658.21 × 1,439.64
  4. Step 4: Simplify right side
    3,104.70x = 6,706,138.25
  5. Step 5: Solve for x
    x = 6,706,138.25/3,104.70
  6. Step 6: Final answer
    x = 2,160.00

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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.