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Finding the Fourth Proportional to 39,400, 54,372.13 and 21,495.38

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Solution

The fourth proportional to 39,400, 54,372.13 and 21,495.38 is: 29,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,400 : 54,372.13 = 21,495.38 : x
  2. Step 2: Convert to fraction form
    39,400/54,372.13 = 21,495.38/x
  3. Step 3: Cross multiply
    39,400x = 54,372.13 × 21,495.38
  4. Step 4: Simplify right side
    39,400x = 1,168,749,595.76
  5. Step 5: Solve for x
    x = 1,168,749,595.76/39,400
  6. Step 6: Final answer
    x = 29,663.70

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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.