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Finding the Fourth Proportional to 21,689.66, 32,512.33 and 12,309.88

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Solution

The fourth proportional to 21,689.66, 32,512.33 and 12,309.88 is: 18,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.66 : 32,512.33 = 12,309.88 : x
  2. Step 2: Convert to fraction form
    21,689.66/32,512.33 = 12,309.88/x
  3. Step 3: Cross multiply
    21,689.66x = 32,512.33 × 12,309.88
  4. Step 4: Simplify right side
    21,689.66x = 400,222,880.82
  5. Step 5: Solve for x
    x = 400,222,880.82/21,689.66
  6. Step 6: Final answer
    x = 18,452.24

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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.