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Finding the Fourth Proportional to 8,171.91, 12,264.43 and 4,224.32

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Solution

The fourth proportional to 8,171.91, 12,264.43 and 4,224.32 is: 6,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.91 : 12,264.43 = 4,224.32 : x
  2. Step 2: Convert to fraction form
    8,171.91/12,264.43 = 4,224.32/x
  3. Step 3: Cross multiply
    8,171.91x = 12,264.43 × 4,224.32
  4. Step 4: Simplify right side
    8,171.91x = 51,808,916.07
  5. Step 5: Solve for x
    x = 51,808,916.07/8,171.91
  6. Step 6: Final answer
    x = 6,339.88

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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.