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Finding the Fourth Proportional to 8,314.79, 12,463.94 and 6,838.56

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Solution

The fourth proportional to 8,314.79, 12,463.94 and 6,838.56 is: 10,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.79 : 12,463.94 = 6,838.56 : x
  2. Step 2: Convert to fraction form
    8,314.79/12,463.94 = 6,838.56/x
  3. Step 3: Cross multiply
    8,314.79x = 12,463.94 × 6,838.56
  4. Step 4: Simplify right side
    8,314.79x = 85,235,418.62
  5. Step 5: Solve for x
    x = 85,235,418.62/8,314.79
  6. Step 6: Final answer
    x = 10,251.07

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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.