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Finding the Fourth Proportional to 8,002.20, 11,996.10 and 5,230.20

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Solution

The fourth proportional to 8,002.20, 11,996.10 and 5,230.20 is: 7,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.20 : 11,996.10 = 5,230.20 : x
  2. Step 2: Convert to fraction form
    8,002.20/11,996.10 = 5,230.20/x
  3. Step 3: Cross multiply
    8,002.20x = 11,996.10 × 5,230.20
  4. Step 4: Simplify right side
    8,002.20x = 62,742,002.22
  5. Step 5: Solve for x
    x = 62,742,002.22/8,002.20
  6. Step 6: Final answer
    x = 7,840.59

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1.5x scale

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.