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Finding the Fourth Proportional to 13,760.72, 20,641 and 9,367.28

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Solution

The fourth proportional to 13,760.72, 20,641 and 9,367.28 is: 14,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.72 : 20,641 = 9,367.28 : x
  2. Step 2: Convert to fraction form
    13,760.72/20,641 = 9,367.28/x
  3. Step 3: Cross multiply
    13,760.72x = 20,641 × 9,367.28
  4. Step 4: Simplify right side
    13,760.72x = 193,350,026.48
  5. Step 5: Solve for x
    x = 193,350,026.48/13,760.72
  6. Step 6: Final answer
    x = 14,050.87

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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.