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Finding the Fourth Proportional to 9,123.12, 12,611.16 and 8,138.16

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Solution

The fourth proportional to 9,123.12, 12,611.16 and 8,138.16 is: 11,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.12 : 12,611.16 = 8,138.16 : x
  2. Step 2: Convert to fraction form
    9,123.12/12,611.16 = 8,138.16/x
  3. Step 3: Cross multiply
    9,123.12x = 12,611.16 × 8,138.16
  4. Step 4: Simplify right side
    9,123.12x = 102,631,637.87
  5. Step 5: Solve for x
    x = 102,631,637.87/9,123.12
  6. Step 6: Final answer
    x = 11,249.62

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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.