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Finding the Fourth Proportional to 8,317.84, 12,478.24 and 3,318.80

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Solution

The fourth proportional to 8,317.84, 12,478.24 and 3,318.80 is: 4,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.84 : 12,478.24 = 3,318.80 : x
  2. Step 2: Convert to fraction form
    8,317.84/12,478.24 = 3,318.80/x
  3. Step 3: Cross multiply
    8,317.84x = 12,478.24 × 3,318.80
  4. Step 4: Simplify right side
    8,317.84x = 41,412,782.91
  5. Step 5: Solve for x
    x = 41,412,782.91/8,317.84
  6. Step 6: Final answer
    x = 4,978.79

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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.