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Finding the Fourth Proportional to 14,411.52, 21,656.16 and 8,181

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Solution

The fourth proportional to 14,411.52, 21,656.16 and 8,181 is: 12,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.52 : 21,656.16 = 8,181 : x
  2. Step 2: Convert to fraction form
    14,411.52/21,656.16 = 8,181/x
  3. Step 3: Cross multiply
    14,411.52x = 21,656.16 × 8,181
  4. Step 4: Simplify right side
    14,411.52x = 177,169,044.96
  5. Step 5: Solve for x
    x = 177,169,044.96/14,411.52
  6. Step 6: Final answer
    x = 12,293.57

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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.