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Finding the Fourth Proportional to 62.36, 86.06 and 34.74

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Solution

The fourth proportional to 62.36, 86.06 and 34.74 is: 47.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.36 : 86.06 = 34.74 : x
  2. Step 2: Convert to fraction form
    62.36/86.06 = 34.74/x
  3. Step 3: Cross multiply
    62.36x = 86.06 × 34.74
  4. Step 4: Simplify right side
    62.36x = 2,989.12
  5. Step 5: Solve for x
    x = 2,989.12/62.36
  6. Step 6: Final answer
    x = 47.94

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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.