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Finding the Fourth Proportional to 6.91, 9.53 and 4.49

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Solution

The fourth proportional to 6.91, 9.53 and 4.49 is: 6.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.91 : 9.53 = 4.49 : x
  2. Step 2: Convert to fraction form
    6.91/9.53 = 4.49/x
  3. Step 3: Cross multiply
    6.91x = 9.53 × 4.49
  4. Step 4: Simplify right side
    6.91x = 42.79
  5. Step 5: Solve for x
    x = 42.79/6.91
  6. Step 6: Final answer
    x = 6.19

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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.