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Finding the Fourth Proportional to 6,277.92, 8,661.78 and 3,922.44

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Solution

The fourth proportional to 6,277.92, 8,661.78 and 3,922.44 is: 5,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.92 : 8,661.78 = 3,922.44 : x
  2. Step 2: Convert to fraction form
    6,277.92/8,661.78 = 3,922.44/x
  3. Step 3: Cross multiply
    6,277.92x = 8,661.78 × 3,922.44
  4. Step 4: Simplify right side
    6,277.92x = 33,975,312.34
  5. Step 5: Solve for x
    x = 33,975,312.34/6,277.92
  6. Step 6: Final answer
    x = 5,411.87

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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.