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Finding the Fourth Proportional to 6,906.60, 10,359.90 and 5,351.40

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Solution

The fourth proportional to 6,906.60, 10,359.90 and 5,351.40 is: 8,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.60 : 10,359.90 = 5,351.40 : x
  2. Step 2: Convert to fraction form
    6,906.60/10,359.90 = 5,351.40/x
  3. Step 3: Cross multiply
    6,906.60x = 10,359.90 × 5,351.40
  4. Step 4: Simplify right side
    6,906.60x = 55,439,968.86
  5. Step 5: Solve for x
    x = 55,439,968.86/6,906.60
  6. Step 6: Final answer
    x = 8,027.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.