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Finding the Fourth Proportional to 8,057, 12,085.50 and 2,863.08

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Solution

The fourth proportional to 8,057, 12,085.50 and 2,863.08 is: 4,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057 : 12,085.50 = 2,863.08 : x
  2. Step 2: Convert to fraction form
    8,057/12,085.50 = 2,863.08/x
  3. Step 3: Cross multiply
    8,057x = 12,085.50 × 2,863.08
  4. Step 4: Simplify right side
    8,057x = 34,601,753.34
  5. Step 5: Solve for x
    x = 34,601,753.34/8,057
  6. Step 6: Final answer
    x = 4,294.62

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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.