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Finding the Fourth Proportional to 7,960.50, 10,978.77 and 6,704.49

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Solution

The fourth proportional to 7,960.50, 10,978.77 and 6,704.49 is: 9,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.50 : 10,978.77 = 6,704.49 : x
  2. Step 2: Convert to fraction form
    7,960.50/10,978.77 = 6,704.49/x
  3. Step 3: Cross multiply
    7,960.50x = 10,978.77 × 6,704.49
  4. Step 4: Simplify right side
    7,960.50x = 73,607,053.68
  5. Step 5: Solve for x
    x = 73,607,053.68/7,960.50
  6. Step 6: Final answer
    x = 9,246.54

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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.