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Finding the Fourth Proportional to 8,727.84, 13,096.08 and 7,578.72

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Solution

The fourth proportional to 8,727.84, 13,096.08 and 7,578.72 is: 11,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.84 : 13,096.08 = 7,578.72 : x
  2. Step 2: Convert to fraction form
    8,727.84/13,096.08 = 7,578.72/x
  3. Step 3: Cross multiply
    8,727.84x = 13,096.08 × 7,578.72
  4. Step 4: Simplify right side
    8,727.84x = 99,251,523.42
  5. Step 5: Solve for x
    x = 99,251,523.42/8,727.84
  6. Step 6: Final answer
    x = 11,371.83

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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.