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Finding the Fourth Proportional to 42.09, 63.14 and 13.59

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Solution

The fourth proportional to 42.09, 63.14 and 13.59 is: 20.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.09 : 63.14 = 13.59 : x
  2. Step 2: Convert to fraction form
    42.09/63.14 = 13.59/x
  3. Step 3: Cross multiply
    42.09x = 63.14 × 13.59
  4. Step 4: Simplify right side
    42.09x = 858.34
  5. Step 5: Solve for x
    x = 858.34/42.09
  6. Step 6: Final answer
    x = 20.39

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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.