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Finding the Fourth Proportional to 38,055, 52,515.90 and 21,288

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Solution

The fourth proportional to 38,055, 52,515.90 and 21,288 is: 29,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,055 : 52,515.90 = 21,288 : x
  2. Step 2: Convert to fraction form
    38,055/52,515.90 = 21,288/x
  3. Step 3: Cross multiply
    38,055x = 52,515.90 × 21,288
  4. Step 4: Simplify right side
    38,055x = 1,117,958,479.20
  5. Step 5: Solve for x
    x = 1,117,958,479.20/38,055
  6. Step 6: Final answer
    x = 29,377.44

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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.