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Finding the Fourth Proportional to 5,321.84, 7,982.75 and 1,425.94

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Solution

The fourth proportional to 5,321.84, 7,982.75 and 1,425.94 is: 2,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.84 : 7,982.75 = 1,425.94 : x
  2. Step 2: Convert to fraction form
    5,321.84/7,982.75 = 1,425.94/x
  3. Step 3: Cross multiply
    5,321.84x = 7,982.75 × 1,425.94
  4. Step 4: Simplify right side
    5,321.84x = 11,382,906.14
  5. Step 5: Solve for x
    x = 11,382,906.14/5,321.84
  6. Step 6: Final answer
    x = 2,138.91

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Similar ratio
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1.5x scale

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.