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Finding the Fourth Proportional to 9.78, 13.49 and 5.69

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Solution

The fourth proportional to 9.78, 13.49 and 5.69 is: 7.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.78 : 13.49 = 5.69 : x
  2. Step 2: Convert to fraction form
    9.78/13.49 = 5.69/x
  3. Step 3: Cross multiply
    9.78x = 13.49 × 5.69
  4. Step 4: Simplify right side
    9.78x = 76.74
  5. Step 5: Solve for x
    x = 76.74/9.78
  6. Step 6: Final answer
    x = 7.85

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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.