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Finding the Fourth Proportional to 11,769.20, 17,632.20 and 9,911.60

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Solution

The fourth proportional to 11,769.20, 17,632.20 and 9,911.60 is: 14,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.20 : 17,632.20 = 9,911.60 : x
  2. Step 2: Convert to fraction form
    11,769.20/17,632.20 = 9,911.60/x
  3. Step 3: Cross multiply
    11,769.20x = 17,632.20 × 9,911.60
  4. Step 4: Simplify right side
    11,769.20x = 174,763,313.52
  5. Step 5: Solve for x
    x = 174,763,313.52/11,769.20
  6. Step 6: Final answer
    x = 14,849.21

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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.