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Finding the Fourth Proportional to 8,002.80, 12,003.78 and 3,072.06

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Solution

The fourth proportional to 8,002.80, 12,003.78 and 3,072.06 is: 4,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.80 : 12,003.78 = 3,072.06 : x
  2. Step 2: Convert to fraction form
    8,002.80/12,003.78 = 3,072.06/x
  3. Step 3: Cross multiply
    8,002.80x = 12,003.78 × 3,072.06
  4. Step 4: Simplify right side
    8,002.80x = 36,876,332.39
  5. Step 5: Solve for x
    x = 36,876,332.39/8,002.80
  6. Step 6: Final answer
    x = 4,607.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.