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Finding the Fourth Proportional to 7,078.50, 9,811.87 and 6,960.87

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Solution

The fourth proportional to 7,078.50, 9,811.87 and 6,960.87 is: 9,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.50 : 9,811.87 = 6,960.87 : x
  2. Step 2: Convert to fraction form
    7,078.50/9,811.87 = 6,960.87/x
  3. Step 3: Cross multiply
    7,078.50x = 9,811.87 × 6,960.87
  4. Step 4: Simplify right side
    7,078.50x = 68,299,134.12
  5. Step 5: Solve for x
    x = 68,299,134.12/7,078.50
  6. Step 6: Final answer
    x = 9,648.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.