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Finding the Fourth Proportional to 39.06, 58.53 and 19.75

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Solution

The fourth proportional to 39.06, 58.53 and 19.75 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.06 : 58.53 = 19.75 : x
  2. Step 2: Convert to fraction form
    39.06/58.53 = 19.75/x
  3. Step 3: Cross multiply
    39.06x = 58.53 × 19.75
  4. Step 4: Simplify right side
    39.06x = 1,155.78
  5. Step 5: Solve for x
    x = 1,155.78/39.06
  6. Step 6: Final answer
    x = 29.59

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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.