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Finding the Fourth Proportional to 21,496.79, 29,680.03 and 16,452

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Solution

The fourth proportional to 21,496.79, 29,680.03 and 16,452 is: 22,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.79 : 29,680.03 = 16,452 : x
  2. Step 2: Convert to fraction form
    21,496.79/29,680.03 = 16,452/x
  3. Step 3: Cross multiply
    21,496.79x = 29,680.03 × 16,452
  4. Step 4: Simplify right side
    21,496.79x = 488,295,853.56
  5. Step 5: Solve for x
    x = 488,295,853.56/21,496.79
  6. Step 6: Final answer
    x = 22,714.83

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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.