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Finding the Fourth Proportional to 7,679.61, 11,542.13 and 6,371.84

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Solution

The fourth proportional to 7,679.61, 11,542.13 and 6,371.84 is: 9,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.61 : 11,542.13 = 6,371.84 : x
  2. Step 2: Convert to fraction form
    7,679.61/11,542.13 = 6,371.84/x
  3. Step 3: Cross multiply
    7,679.61x = 11,542.13 × 6,371.84
  4. Step 4: Simplify right side
    7,679.61x = 73,544,626.51
  5. Step 5: Solve for x
    x = 73,544,626.51/7,679.61
  6. Step 6: Final answer
    x = 9,576.61

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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.