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Finding the Fourth Proportional to 8,083.70, 11,142.75 and 7,405.70

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Solution

The fourth proportional to 8,083.70, 11,142.75 and 7,405.70 is: 10,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.70 : 11,142.75 = 7,405.70 : x
  2. Step 2: Convert to fraction form
    8,083.70/11,142.75 = 7,405.70/x
  3. Step 3: Cross multiply
    8,083.70x = 11,142.75 × 7,405.70
  4. Step 4: Simplify right side
    8,083.70x = 82,519,863.68
  5. Step 5: Solve for x
    x = 82,519,863.68/8,083.70
  6. Step 6: Final answer
    x = 10,208.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.