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Finding the Fourth Proportional to 13,092.96, 18,064.20 and 7,427.28

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Solution

The fourth proportional to 13,092.96, 18,064.20 and 7,427.28 is: 10,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.96 : 18,064.20 = 7,427.28 : x
  2. Step 2: Convert to fraction form
    13,092.96/18,064.20 = 7,427.28/x
  3. Step 3: Cross multiply
    13,092.96x = 18,064.20 × 7,427.28
  4. Step 4: Simplify right side
    13,092.96x = 134,167,871.38
  5. Step 5: Solve for x
    x = 134,167,871.38/13,092.96
  6. Step 6: Final answer
    x = 10,247.33

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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.