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Finding the Fourth Proportional to 35, 47.98 and 34.13

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Solution

The fourth proportional to 35, 47.98 and 34.13 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 47.98 = 34.13 : x
  2. Step 2: Convert to fraction form
    35/47.98 = 34.13/x
  3. Step 3: Cross multiply
    35x = 47.98 × 34.13
  4. Step 4: Simplify right side
    35x = 1,637.15
  5. Step 5: Solve for x
    x = 1,637.15/35
  6. Step 6: Final answer
    x = 46.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.