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Finding the Fourth Proportional to 6,474.36, 9,695.07 and 4,279.80

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Solution

The fourth proportional to 6,474.36, 9,695.07 and 4,279.80 is: 6,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.36 : 9,695.07 = 4,279.80 : x
  2. Step 2: Convert to fraction form
    6,474.36/9,695.07 = 4,279.80/x
  3. Step 3: Cross multiply
    6,474.36x = 9,695.07 × 4,279.80
  4. Step 4: Simplify right side
    6,474.36x = 41,492,960.59
  5. Step 5: Solve for x
    x = 41,492,960.59/6,474.36
  6. Step 6: Final answer
    x = 6,408.81

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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.