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Finding the Fourth Proportional to 38,229, 52,756.20 and 21,462

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Solution

The fourth proportional to 38,229, 52,756.20 and 21,462 is: 29,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229 : 52,756.20 = 21,462 : x
  2. Step 2: Convert to fraction form
    38,229/52,756.20 = 21,462/x
  3. Step 3: Cross multiply
    38,229x = 52,756.20 × 21,462
  4. Step 4: Simplify right side
    38,229x = 1,132,253,564.40
  5. Step 5: Solve for x
    x = 1,132,253,564.40/38,229
  6. Step 6: Final answer
    x = 29,617.66

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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.