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Finding the Fourth Proportional to 19.38, 29.09 and 9.78

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Solution

The fourth proportional to 19.38, 29.09 and 9.78 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.38 : 29.09 = 9.78 : x
  2. Step 2: Convert to fraction form
    19.38/29.09 = 9.78/x
  3. Step 3: Cross multiply
    19.38x = 29.09 × 9.78
  4. Step 4: Simplify right side
    19.38x = 284.50
  5. Step 5: Solve for x
    x = 284.50/19.38
  6. Step 6: Final answer
    x = 14.68

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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.