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Finding the Fourth Proportional to 10,890, 15,028.20 and 5,922

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Solution

The fourth proportional to 10,890, 15,028.20 and 5,922 is: 8,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890 : 15,028.20 = 5,922 : x
  2. Step 2: Convert to fraction form
    10,890/15,028.20 = 5,922/x
  3. Step 3: Cross multiply
    10,890x = 15,028.20 × 5,922
  4. Step 4: Simplify right side
    10,890x = 88,997,000.40
  5. Step 5: Solve for x
    x = 88,997,000.40/10,890
  6. Step 6: Final answer
    x = 8,172.36

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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.