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Finding the Fourth Proportional to 3,046.35, 4,115.81 and 3,046.35

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Solution

The fourth proportional to 3,046.35, 4,115.81 and 3,046.35 is: 4,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.35 : 4,115.81 = 3,046.35 : x
  2. Step 2: Convert to fraction form
    3,046.35/4,115.81 = 3,046.35/x
  3. Step 3: Cross multiply
    3,046.35x = 4,115.81 × 3,046.35
  4. Step 4: Simplify right side
    3,046.35x = 12,538,205.41
  5. Step 5: Solve for x
    x = 12,538,205.41/3,046.35
  6. Step 6: Final answer
    x = 4,115.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.