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Finding the Fourth Proportional to 6,863.78, 9,465.07 and 6,105.16

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Solution

The fourth proportional to 6,863.78, 9,465.07 and 6,105.16 is: 8,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.78 : 9,465.07 = 6,105.16 : x
  2. Step 2: Convert to fraction form
    6,863.78/9,465.07 = 6,105.16/x
  3. Step 3: Cross multiply
    6,863.78x = 9,465.07 × 6,105.16
  4. Step 4: Simplify right side
    6,863.78x = 57,785,766.76
  5. Step 5: Solve for x
    x = 57,785,766.76/6,863.78
  6. Step 6: Final answer
    x = 8,418.94

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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.