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Finding the Fourth Proportional to 11,537.44, 17,278.41 and 7,828.45

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Solution

The fourth proportional to 11,537.44, 17,278.41 and 7,828.45 is: 11,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.44 : 17,278.41 = 7,828.45 : x
  2. Step 2: Convert to fraction form
    11,537.44/17,278.41 = 7,828.45/x
  3. Step 3: Cross multiply
    11,537.44x = 17,278.41 × 7,828.45
  4. Step 4: Simplify right side
    11,537.44x = 135,263,168.76
  5. Step 5: Solve for x
    x = 135,263,168.76/11,537.44
  6. Step 6: Final answer
    x = 11,723.85

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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.