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Finding the Fourth Proportional to 38,250, 52,789.95 and 21,483

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Solution

The fourth proportional to 38,250, 52,789.95 and 21,483 is: 29,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,250 : 52,789.95 = 21,483 : x
  2. Step 2: Convert to fraction form
    38,250/52,789.95 = 21,483/x
  3. Step 3: Cross multiply
    38,250x = 52,789.95 × 21,483
  4. Step 4: Simplify right side
    38,250x = 1,134,086,495.85
  5. Step 5: Solve for x
    x = 1,134,086,495.85/38,250
  6. Step 6: Final answer
    x = 29,649.32

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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.