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Finding the Fourth Proportional to 6,313.86, 8,711.80 and 4,323.69

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Solution

The fourth proportional to 6,313.86, 8,711.80 and 4,323.69 is: 5,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.86 : 8,711.80 = 4,323.69 : x
  2. Step 2: Convert to fraction form
    6,313.86/8,711.80 = 4,323.69/x
  3. Step 3: Cross multiply
    6,313.86x = 8,711.80 × 4,323.69
  4. Step 4: Simplify right side
    6,313.86x = 37,667,122.54
  5. Step 5: Solve for x
    x = 37,667,122.54/6,313.86
  6. Step 6: Final answer
    x = 5,965.78

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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.