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Finding the Fourth Proportional to 11,991.60, 17,955.12 and 7,821.27

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Solution

The fourth proportional to 11,991.60, 17,955.12 and 7,821.27 is: 11,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.60 : 17,955.12 = 7,821.27 : x
  2. Step 2: Convert to fraction form
    11,991.60/17,955.12 = 7,821.27/x
  3. Step 3: Cross multiply
    11,991.60x = 17,955.12 × 7,821.27
  4. Step 4: Simplify right side
    11,991.60x = 140,431,841.40
  5. Step 5: Solve for x
    x = 140,431,841.40/11,991.60
  6. Step 6: Final answer
    x = 11,710.85

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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.