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Finding the Fourth Proportional to 8,313, 12,469.49 and 4,847.82

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Solution

The fourth proportional to 8,313, 12,469.49 and 4,847.82 is: 7,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313 : 12,469.49 = 4,847.82 : x
  2. Step 2: Convert to fraction form
    8,313/12,469.49 = 4,847.82/x
  3. Step 3: Cross multiply
    8,313x = 12,469.49 × 4,847.82
  4. Step 4: Simplify right side
    8,313x = 60,449,818.77
  5. Step 5: Solve for x
    x = 60,449,818.77/8,313
  6. Step 6: Final answer
    x = 7,271.72

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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.