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Finding the Fourth Proportional to 8,166.42, 12,189.69 and 7,473.87

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Solution

The fourth proportional to 8,166.42, 12,189.69 and 7,473.87 is: 11,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.42 : 12,189.69 = 7,473.87 : x
  2. Step 2: Convert to fraction form
    8,166.42/12,189.69 = 7,473.87/x
  3. Step 3: Cross multiply
    8,166.42x = 12,189.69 × 7,473.87
  4. Step 4: Simplify right side
    8,166.42x = 91,104,158.40
  5. Step 5: Solve for x
    x = 91,104,158.40/8,166.42
  6. Step 6: Final answer
    x = 11,155.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.