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Finding the Fourth Proportional to 5.82, 8.03 and 4.20

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Solution

The fourth proportional to 5.82, 8.03 and 4.20 is: 5.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 8.03 = 4.20 : x
  2. Step 2: Convert to fraction form
    5.82/8.03 = 4.20/x
  3. Step 3: Cross multiply
    5.82x = 8.03 × 4.20
  4. Step 4: Simplify right side
    5.82x = 33.73
  5. Step 5: Solve for x
    x = 33.73/5.82
  6. Step 6: Final answer
    x = 5.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.