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Finding the Fourth Proportional to 21,507.85, 29,721.90 and 16,193.44

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Solution

The fourth proportional to 21,507.85, 29,721.90 and 16,193.44 is: 22,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.85 : 29,721.90 = 16,193.44 : x
  2. Step 2: Convert to fraction form
    21,507.85/29,721.90 = 16,193.44/x
  3. Step 3: Cross multiply
    21,507.85x = 29,721.90 × 16,193.44
  4. Step 4: Simplify right side
    21,507.85x = 481,299,804.34
  5. Step 5: Solve for x
    x = 481,299,804.34/21,507.85
  6. Step 6: Final answer
    x = 22,377.87

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1.5x scale

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.