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Finding the Fourth Proportional to 8,002.66, 11,048.97 and 5,212.90

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Solution

The fourth proportional to 8,002.66, 11,048.97 and 5,212.90 is: 7,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.66 : 11,048.97 = 5,212.90 : x
  2. Step 2: Convert to fraction form
    8,002.66/11,048.97 = 5,212.90/x
  3. Step 3: Cross multiply
    8,002.66x = 11,048.97 × 5,212.90
  4. Step 4: Simplify right side
    8,002.66x = 57,597,175.71
  5. Step 5: Solve for x
    x = 57,597,175.71/8,002.66
  6. Step 6: Final answer
    x = 7,197.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.