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Finding the Fourth Proportional to 38.40, 57.60 and 19.13

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Solution

The fourth proportional to 38.40, 57.60 and 19.13 is: 28.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.40 : 57.60 = 19.13 : x
  2. Step 2: Convert to fraction form
    38.40/57.60 = 19.13/x
  3. Step 3: Cross multiply
    38.40x = 57.60 × 19.13
  4. Step 4: Simplify right side
    38.40x = 1,101.89
  5. Step 5: Solve for x
    x = 1,101.89/38.40
  6. Step 6: Final answer
    x = 28.70

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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.