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Finding the Fourth Proportional to 8,002.80, 11,979.90 and 4,706.10

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Solution

The fourth proportional to 8,002.80, 11,979.90 and 4,706.10 is: 7,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.80 : 11,979.90 = 4,706.10 : x
  2. Step 2: Convert to fraction form
    8,002.80/11,979.90 = 4,706.10/x
  3. Step 3: Cross multiply
    8,002.80x = 11,979.90 × 4,706.10
  4. Step 4: Simplify right side
    8,002.80x = 56,378,607.39
  5. Step 5: Solve for x
    x = 56,378,607.39/8,002.80
  6. Step 6: Final answer
    x = 7,044.86

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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.