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Finding the Fourth Proportional to 9,372.83, 12,944.18 and 8,107.81

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Solution

The fourth proportional to 9,372.83, 12,944.18 and 8,107.81 is: 11,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.83 : 12,944.18 = 8,107.81 : x
  2. Step 2: Convert to fraction form
    9,372.83/12,944.18 = 8,107.81/x
  3. Step 3: Cross multiply
    9,372.83x = 12,944.18 × 8,107.81
  4. Step 4: Simplify right side
    9,372.83x = 104,948,939.95
  5. Step 5: Solve for x
    x = 104,948,939.95/9,372.83
  6. Step 6: Final answer
    x = 11,197.15

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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.