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Finding the Fourth Proportional to 7,865.44, 11,755.24 and 7,242.72

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Solution

The fourth proportional to 7,865.44, 11,755.24 and 7,242.72 is: 10,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.44 : 11,755.24 = 7,242.72 : x
  2. Step 2: Convert to fraction form
    7,865.44/11,755.24 = 7,242.72/x
  3. Step 3: Cross multiply
    7,865.44x = 11,755.24 × 7,242.72
  4. Step 4: Simplify right side
    7,865.44x = 85,139,911.85
  5. Step 5: Solve for x
    x = 85,139,911.85/7,865.44
  6. Step 6: Final answer
    x = 10,824.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.