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Finding the Fourth Proportional to 7,906.40, 10,914.32 and 4,720.80

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Solution

The fourth proportional to 7,906.40, 10,914.32 and 4,720.80 is: 6,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.40 : 10,914.32 = 4,720.80 : x
  2. Step 2: Convert to fraction form
    7,906.40/10,914.32 = 4,720.80/x
  3. Step 3: Cross multiply
    7,906.40x = 10,914.32 × 4,720.80
  4. Step 4: Simplify right side
    7,906.40x = 51,524,321.86
  5. Step 5: Solve for x
    x = 51,524,321.86/7,906.40
  6. Step 6: Final answer
    x = 6,516.79

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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.