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Finding the Fourth Proportional to 6.24, 9.33 and 4.97

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Solution

The fourth proportional to 6.24, 9.33 and 4.97 is: 7.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.24 : 9.33 = 4.97 : x
  2. Step 2: Convert to fraction form
    6.24/9.33 = 4.97/x
  3. Step 3: Cross multiply
    6.24x = 9.33 × 4.97
  4. Step 4: Simplify right side
    6.24x = 46.37
  5. Step 5: Solve for x
    x = 46.37/6.24
  6. Step 6: Final answer
    x = 7.43

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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.