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Finding the Fourth Proportional to 10.38, 14.28 and 9.84

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Solution

The fourth proportional to 10.38, 14.28 and 9.84 is: 13.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 14.28 = 9.84 : x
  2. Step 2: Convert to fraction form
    10.38/14.28 = 9.84/x
  3. Step 3: Cross multiply
    10.38x = 14.28 × 9.84
  4. Step 4: Simplify right side
    10.38x = 140.52
  5. Step 5: Solve for x
    x = 140.52/10.38
  6. Step 6: Final answer
    x = 13.54

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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.