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Finding the Fourth Proportional to 21,174.80, 29,135.40 and 17,384

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Solution

The fourth proportional to 21,174.80, 29,135.40 and 17,384 is: 23,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.80 : 29,135.40 = 17,384 : x
  2. Step 2: Convert to fraction form
    21,174.80/29,135.40 = 17,384/x
  3. Step 3: Cross multiply
    21,174.80x = 29,135.40 × 17,384
  4. Step 4: Simplify right side
    21,174.80x = 506,489,793.60
  5. Step 5: Solve for x
    x = 506,489,793.60/21,174.80
  6. Step 6: Final answer
    x = 23,919.46

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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.