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Finding the Fourth Proportional to 6,305.65, 8,708.13 and 5,197.57

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Solution

The fourth proportional to 6,305.65, 8,708.13 and 5,197.57 is: 7,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.65 : 8,708.13 = 5,197.57 : x
  2. Step 2: Convert to fraction form
    6,305.65/8,708.13 = 5,197.57/x
  3. Step 3: Cross multiply
    6,305.65x = 8,708.13 × 5,197.57
  4. Step 4: Simplify right side
    6,305.65x = 45,261,115.24
  5. Step 5: Solve for x
    x = 45,261,115.24/6,305.65
  6. Step 6: Final answer
    x = 7,177.87

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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.