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Finding the Fourth Proportional to 8,274.76, 12,424.48 and 8,127.16

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Solution

The fourth proportional to 8,274.76, 12,424.48 and 8,127.16 is: 12,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.76 : 12,424.48 = 8,127.16 : x
  2. Step 2: Convert to fraction form
    8,274.76/12,424.48 = 8,127.16/x
  3. Step 3: Cross multiply
    8,274.76x = 12,424.48 × 8,127.16
  4. Step 4: Simplify right side
    8,274.76x = 100,975,736.88
  5. Step 5: Solve for x
    x = 100,975,736.88/8,274.76
  6. Step 6: Final answer
    x = 12,202.86

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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.