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Finding the Fourth Proportional to 13, 19.54 and 10.04

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Solution

The fourth proportional to 13, 19.54 and 10.04 is: 15.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 19.54 = 10.04 : x
  2. Step 2: Convert to fraction form
    13/19.54 = 10.04/x
  3. Step 3: Cross multiply
    13x = 19.54 × 10.04
  4. Step 4: Simplify right side
    13x = 196.18
  5. Step 5: Solve for x
    x = 196.18/13
  6. Step 6: Final answer
    x = 15.09

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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.