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Finding the Fourth Proportional to 39.65, 54.72 and 35.82

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Solution

The fourth proportional to 39.65, 54.72 and 35.82 is: 49.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.65 : 54.72 = 35.82 : x
  2. Step 2: Convert to fraction form
    39.65/54.72 = 35.82/x
  3. Step 3: Cross multiply
    39.65x = 54.72 × 35.82
  4. Step 4: Simplify right side
    39.65x = 1,960.07
  5. Step 5: Solve for x
    x = 1,960.07/39.65
  6. Step 6: Final answer
    x = 49.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.