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Finding the Fourth Proportional to 14,731, 20,328.82 and 8,107

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Solution

The fourth proportional to 14,731, 20,328.82 and 8,107 is: 11,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731 : 20,328.82 = 8,107 : x
  2. Step 2: Convert to fraction form
    14,731/20,328.82 = 8,107/x
  3. Step 3: Cross multiply
    14,731x = 20,328.82 × 8,107
  4. Step 4: Simplify right side
    14,731x = 164,805,743.74
  5. Step 5: Solve for x
    x = 164,805,743.74/14,731
  6. Step 6: Final answer
    x = 11,187.68

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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.