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Finding the Fourth Proportional to 8,302, 12,453 and 3,110.32

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Solution

The fourth proportional to 8,302, 12,453 and 3,110.32 is: 4,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 12,453 = 3,110.32 : x
  2. Step 2: Convert to fraction form
    8,302/12,453 = 3,110.32/x
  3. Step 3: Cross multiply
    8,302x = 12,453 × 3,110.32
  4. Step 4: Simplify right side
    8,302x = 38,732,814.96
  5. Step 5: Solve for x
    x = 38,732,814.96/8,302
  6. Step 6: Final answer
    x = 4,665.48

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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.