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Finding the Fourth Proportional to 21,167.78, 31,766.26 and 7,316.78

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Solution

The fourth proportional to 21,167.78, 31,766.26 and 7,316.78 is: 10,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.78 : 31,766.26 = 7,316.78 : x
  2. Step 2: Convert to fraction form
    21,167.78/31,766.26 = 7,316.78/x
  3. Step 3: Cross multiply
    21,167.78x = 31,766.26 × 7,316.78
  4. Step 4: Simplify right side
    21,167.78x = 232,426,796.97
  5. Step 5: Solve for x
    x = 232,426,796.97/21,167.78
  6. Step 6: Final answer
    x = 10,980.21

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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.