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Finding the Fourth Proportional to 21,827.91, 32,747.91 and 8,689.51

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Solution

The fourth proportional to 21,827.91, 32,747.91 and 8,689.51 is: 13,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.91 : 32,747.91 = 8,689.51 : x
  2. Step 2: Convert to fraction form
    21,827.91/32,747.91 = 8,689.51/x
  3. Step 3: Cross multiply
    21,827.91x = 32,747.91 × 8,689.51
  4. Step 4: Simplify right side
    21,827.91x = 284,563,115.57
  5. Step 5: Solve for x
    x = 284,563,115.57/21,827.91
  6. Step 6: Final answer
    x = 13,036.66

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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.