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Finding the Fourth Proportional to 20,672.67, 31,009 and 5,090.30

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Solution

The fourth proportional to 20,672.67, 31,009 and 5,090.30 is: 7,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.67 : 31,009 = 5,090.30 : x
  2. Step 2: Convert to fraction form
    20,672.67/31,009 = 5,090.30/x
  3. Step 3: Cross multiply
    20,672.67x = 31,009 × 5,090.30
  4. Step 4: Simplify right side
    20,672.67x = 157,844,957.66
  5. Step 5: Solve for x
    x = 157,844,957.66/20,672.67
  6. Step 6: Final answer
    x = 7,635.44

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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.