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Finding the Fourth Proportional to 3,412, 5,078.93 and 3,252.70

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Solution

The fourth proportional to 3,412, 5,078.93 and 3,252.70 is: 4,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 5,078.93 = 3,252.70 : x
  2. Step 2: Convert to fraction form
    3,412/5,078.93 = 3,252.70/x
  3. Step 3: Cross multiply
    3,412x = 5,078.93 × 3,252.70
  4. Step 4: Simplify right side
    3,412x = 16,520,235.61
  5. Step 5: Solve for x
    x = 16,520,235.61/3,412
  6. Step 6: Final answer
    x = 4,841.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.