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Finding the Fourth Proportional to 7,615.56, 11,391.75 and 7,149

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Solution

The fourth proportional to 7,615.56, 11,391.75 and 7,149 is: 10,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.56 : 11,391.75 = 7,149 : x
  2. Step 2: Convert to fraction form
    7,615.56/11,391.75 = 7,149/x
  3. Step 3: Cross multiply
    7,615.56x = 11,391.75 × 7,149
  4. Step 4: Simplify right side
    7,615.56x = 81,439,620.75
  5. Step 5: Solve for x
    x = 81,439,620.75/7,615.56
  6. Step 6: Final answer
    x = 10,693.85

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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.