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Finding the Fourth Proportional to 13,842.45, 20,769.74 and 7,267.09

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Solution

The fourth proportional to 13,842.45, 20,769.74 and 7,267.09 is: 10,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.45 : 20,769.74 = 7,267.09 : x
  2. Step 2: Convert to fraction form
    13,842.45/20,769.74 = 7,267.09/x
  3. Step 3: Cross multiply
    13,842.45x = 20,769.74 × 7,267.09
  4. Step 4: Simplify right side
    13,842.45x = 150,935,569.86
  5. Step 5: Solve for x
    x = 150,935,569.86/13,842.45
  6. Step 6: Final answer
    x = 10,903.82

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1.5x scale

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.