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Finding the Fourth Proportional to 10,162, 14,006.28 and 8,387.92

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Solution

The fourth proportional to 10,162, 14,006.28 and 8,387.92 is: 11,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162 : 14,006.28 = 8,387.92 : x
  2. Step 2: Convert to fraction form
    10,162/14,006.28 = 8,387.92/x
  3. Step 3: Cross multiply
    10,162x = 14,006.28 × 8,387.92
  4. Step 4: Simplify right side
    10,162x = 117,483,556.14
  5. Step 5: Solve for x
    x = 117,483,556.14/10,162
  6. Step 6: Final answer
    x = 11,561.07

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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.