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Finding the Fourth Proportional to 11,329.93, 16,983.22 and 8,202.18

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Solution

The fourth proportional to 11,329.93, 16,983.22 and 8,202.18 is: 12,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.93 : 16,983.22 = 8,202.18 : x
  2. Step 2: Convert to fraction form
    11,329.93/16,983.22 = 8,202.18/x
  3. Step 3: Cross multiply
    11,329.93x = 16,983.22 × 8,202.18
  4. Step 4: Simplify right side
    11,329.93x = 139,299,427.42
  5. Step 5: Solve for x
    x = 139,299,427.42/11,329.93
  6. Step 6: Final answer
    x = 12,294.82

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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.