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Finding the Fourth Proportional to 13.05, 19.57 and 4.03

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Solution

The fourth proportional to 13.05, 19.57 and 4.03 is: 6.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.05 : 19.57 = 4.03 : x
  2. Step 2: Convert to fraction form
    13.05/19.57 = 4.03/x
  3. Step 3: Cross multiply
    13.05x = 19.57 × 4.03
  4. Step 4: Simplify right side
    13.05x = 78.83
  5. Step 5: Solve for x
    x = 78.83/13.05
  6. Step 6: Final answer
    x = 6.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.