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Finding the Fourth Proportional to 39,495, 54,503.10 and 21,831

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Solution

The fourth proportional to 39,495, 54,503.10 and 21,831 is: 30,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,495 : 54,503.10 = 21,831 : x
  2. Step 2: Convert to fraction form
    39,495/54,503.10 = 21,831/x
  3. Step 3: Cross multiply
    39,495x = 54,503.10 × 21,831
  4. Step 4: Simplify right side
    39,495x = 1,189,857,176.10
  5. Step 5: Solve for x
    x = 1,189,857,176.10/39,495
  6. Step 6: Final answer
    x = 30,126.78

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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.