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Finding the Fourth Proportional to 7,658.45, 11,489.21 and 3,497.34

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Solution

The fourth proportional to 7,658.45, 11,489.21 and 3,497.34 is: 5,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.45 : 11,489.21 = 3,497.34 : x
  2. Step 2: Convert to fraction form
    7,658.45/11,489.21 = 3,497.34/x
  3. Step 3: Cross multiply
    7,658.45x = 11,489.21 × 3,497.34
  4. Step 4: Simplify right side
    7,658.45x = 40,181,640.61
  5. Step 5: Solve for x
    x = 40,181,640.61/7,658.45
  6. Step 6: Final answer
    x = 5,246.71

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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.