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Finding the Fourth Proportional to 21,167.60, 31,765.97 and 7,316.60

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Solution

The fourth proportional to 21,167.60, 31,765.97 and 7,316.60 is: 10,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.60 : 31,765.97 = 7,316.60 : x
  2. Step 2: Convert to fraction form
    21,167.60/31,765.97 = 7,316.60/x
  3. Step 3: Cross multiply
    21,167.60x = 31,765.97 × 7,316.60
  4. Step 4: Simplify right side
    21,167.60x = 232,418,755.56
  5. Step 5: Solve for x
    x = 232,418,755.56/21,167.60
  6. Step 6: Final answer
    x = 10,979.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.