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Finding the Fourth Proportional to 13,944, 20,923.20 and 9,267.24

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Solution

The fourth proportional to 13,944, 20,923.20 and 9,267.24 is: 13,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944 : 20,923.20 = 9,267.24 : x
  2. Step 2: Convert to fraction form
    13,944/20,923.20 = 9,267.24/x
  3. Step 3: Cross multiply
    13,944x = 20,923.20 × 9,267.24
  4. Step 4: Simplify right side
    13,944x = 193,900,315.97
  5. Step 5: Solve for x
    x = 193,900,315.97/13,944
  6. Step 6: Final answer
    x = 13,905.65

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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.