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Finding the Fourth Proportional to 8,287.70, 12,431.54 and 5,682.74

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Solution

The fourth proportional to 8,287.70, 12,431.54 and 5,682.74 is: 8,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.70 : 12,431.54 = 5,682.74 : x
  2. Step 2: Convert to fraction form
    8,287.70/12,431.54 = 5,682.74/x
  3. Step 3: Cross multiply
    8,287.70x = 12,431.54 × 5,682.74
  4. Step 4: Simplify right side
    8,287.70x = 70,645,209.62
  5. Step 5: Solve for x
    x = 70,645,209.62/8,287.70
  6. Step 6: Final answer
    x = 8,524.10

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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.