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Finding the Fourth Proportional to 5.82, 8.78 and 5.16

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Solution

The fourth proportional to 5.82, 8.78 and 5.16 is: 7.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 8.78 = 5.16 : x
  2. Step 2: Convert to fraction form
    5.82/8.78 = 5.16/x
  3. Step 3: Cross multiply
    5.82x = 8.78 × 5.16
  4. Step 4: Simplify right side
    5.82x = 45.28
  5. Step 5: Solve for x
    x = 45.28/5.82
  6. Step 6: Final answer
    x = 7.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.