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Finding the Fourth Proportional to 5.90, 8.09 and 5.72

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Solution

The fourth proportional to 5.90, 8.09 and 5.72 is: 7.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.90 : 8.09 = 5.72 : x
  2. Step 2: Convert to fraction form
    5.90/8.09 = 5.72/x
  3. Step 3: Cross multiply
    5.90x = 8.09 × 5.72
  4. Step 4: Simplify right side
    5.90x = 46.27
  5. Step 5: Solve for x
    x = 46.27/5.90
  6. Step 6: Final answer
    x = 7.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.