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Finding the Fourth Proportional to 10,727.12, 14,802 and 6,011.48

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Solution

The fourth proportional to 10,727.12, 14,802 and 6,011.48 is: 8,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.12 : 14,802 = 6,011.48 : x
  2. Step 2: Convert to fraction form
    10,727.12/14,802 = 6,011.48/x
  3. Step 3: Cross multiply
    10,727.12x = 14,802 × 6,011.48
  4. Step 4: Simplify right side
    10,727.12x = 88,981,926.96
  5. Step 5: Solve for x
    x = 88,981,926.96/10,727.12
  6. Step 6: Final answer
    x = 8,295.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.