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Finding the Fourth Proportional to 6,815.92, 9,410.64 and 5,219.75

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Solution

The fourth proportional to 6,815.92, 9,410.64 and 5,219.75 is: 7,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.92 : 9,410.64 = 5,219.75 : x
  2. Step 2: Convert to fraction form
    6,815.92/9,410.64 = 5,219.75/x
  3. Step 3: Cross multiply
    6,815.92x = 9,410.64 × 5,219.75
  4. Step 4: Simplify right side
    6,815.92x = 49,121,200.74
  5. Step 5: Solve for x
    x = 49,121,200.74/6,815.92
  6. Step 6: Final answer
    x = 7,206.83

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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.