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Finding the Fourth Proportional to 7,687.63, 11,520.24 and 4,174.66

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Solution

The fourth proportional to 7,687.63, 11,520.24 and 4,174.66 is: 6,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.63 : 11,520.24 = 4,174.66 : x
  2. Step 2: Convert to fraction form
    7,687.63/11,520.24 = 4,174.66/x
  3. Step 3: Cross multiply
    7,687.63x = 11,520.24 × 4,174.66
  4. Step 4: Simplify right side
    7,687.63x = 48,093,085.12
  5. Step 5: Solve for x
    x = 48,093,085.12/7,687.63
  6. Step 6: Final answer
    x = 6,255.91

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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.