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Finding the Fourth Proportional to 7,978.16, 10,997.22 and 6,296.84

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Solution

The fourth proportional to 7,978.16, 10,997.22 and 6,296.84 is: 8,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.16 : 10,997.22 = 6,296.84 : x
  2. Step 2: Convert to fraction form
    7,978.16/10,997.22 = 6,296.84/x
  3. Step 3: Cross multiply
    7,978.16x = 10,997.22 × 6,296.84
  4. Step 4: Simplify right side
    7,978.16x = 69,247,734.78
  5. Step 5: Solve for x
    x = 69,247,734.78/7,978.16
  6. Step 6: Final answer
    x = 8,679.66

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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.