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Finding the Fourth Proportional to 6,379.97, 8,808.66 and 5,705.69

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Solution

The fourth proportional to 6,379.97, 8,808.66 and 5,705.69 is: 7,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.97 : 8,808.66 = 5,705.69 : x
  2. Step 2: Convert to fraction form
    6,379.97/8,808.66 = 5,705.69/x
  3. Step 3: Cross multiply
    6,379.97x = 8,808.66 × 5,705.69
  4. Step 4: Simplify right side
    6,379.97x = 50,259,439.23
  5. Step 5: Solve for x
    x = 50,259,439.23/6,379.97
  6. Step 6: Final answer
    x = 7,877.69

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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.