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Finding the Fourth Proportional to 38,266, 52,811.94 and 21,499

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Solution

The fourth proportional to 38,266, 52,811.94 and 21,499 is: 29,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266 : 52,811.94 = 21,499 : x
  2. Step 2: Convert to fraction form
    38,266/52,811.94 = 21,499/x
  3. Step 3: Cross multiply
    38,266x = 52,811.94 × 21,499
  4. Step 4: Simplify right side
    38,266x = 1,135,403,898.06
  5. Step 5: Solve for x
    x = 1,135,403,898.06/38,266
  6. Step 6: Final answer
    x = 29,671.35

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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.