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Finding the Fourth Proportional to 7,912.10, 10,896.46 and 7,739.86

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Solution

The fourth proportional to 7,912.10, 10,896.46 and 7,739.86 is: 10,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.10 : 10,896.46 = 7,739.86 : x
  2. Step 2: Convert to fraction form
    7,912.10/10,896.46 = 7,739.86/x
  3. Step 3: Cross multiply
    7,912.10x = 10,896.46 × 7,739.86
  4. Step 4: Simplify right side
    7,912.10x = 84,337,074.90
  5. Step 5: Solve for x
    x = 84,337,074.90/7,912.10
  6. Step 6: Final answer
    x = 10,659.25

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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.