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Finding the Fourth Proportional to 14,476.73, 19,978.09 and 8,811.71

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Solution

The fourth proportional to 14,476.73, 19,978.09 and 8,811.71 is: 12,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.73 : 19,978.09 = 8,811.71 : x
  2. Step 2: Convert to fraction form
    14,476.73/19,978.09 = 8,811.71/x
  3. Step 3: Cross multiply
    14,476.73x = 19,978.09 × 8,811.71
  4. Step 4: Simplify right side
    14,476.73x = 176,041,194.19
  5. Step 5: Solve for x
    x = 176,041,194.19/14,476.73
  6. Step 6: Final answer
    x = 12,160.29

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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.