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Finding the Fourth Proportional to 35.08, 47.76 and 34.94

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Solution

The fourth proportional to 35.08, 47.76 and 34.94 is: 47.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.08 : 47.76 = 34.94 : x
  2. Step 2: Convert to fraction form
    35.08/47.76 = 34.94/x
  3. Step 3: Cross multiply
    35.08x = 47.76 × 34.94
  4. Step 4: Simplify right side
    35.08x = 1,668.73
  5. Step 5: Solve for x
    x = 1,668.73/35.08
  6. Step 6: Final answer
    x = 47.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.