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Finding the Fourth Proportional to 8,110.71, 12,144.06 and 6,783.93

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Solution

The fourth proportional to 8,110.71, 12,144.06 and 6,783.93 is: 10,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.71 : 12,144.06 = 6,783.93 : x
  2. Step 2: Convert to fraction form
    8,110.71/12,144.06 = 6,783.93/x
  3. Step 3: Cross multiply
    8,110.71x = 12,144.06 × 6,783.93
  4. Step 4: Simplify right side
    8,110.71x = 82,384,452.96
  5. Step 5: Solve for x
    x = 82,384,452.96/8,110.71
  6. Step 6: Final answer
    x = 10,157.49

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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.