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Finding the Fourth Proportional to 8,821, 12,173.54 and 6,167.44

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Solution

The fourth proportional to 8,821, 12,173.54 and 6,167.44 is: 8,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821 : 12,173.54 = 6,167.44 : x
  2. Step 2: Convert to fraction form
    8,821/12,173.54 = 6,167.44/x
  3. Step 3: Cross multiply
    8,821x = 12,173.54 × 6,167.44
  4. Step 4: Simplify right side
    8,821x = 75,079,577.54
  5. Step 5: Solve for x
    x = 75,079,577.54/8,821
  6. Step 6: Final answer
    x = 8,511.46

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1.5x scale

Why These Related Problems?

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