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Finding the Fourth Proportional to 8,213.87, 12,312.99 and 2,663.31

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Solution

The fourth proportional to 8,213.87, 12,312.99 and 2,663.31 is: 3,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.87 : 12,312.99 = 2,663.31 : x
  2. Step 2: Convert to fraction form
    8,213.87/12,312.99 = 2,663.31/x
  3. Step 3: Cross multiply
    8,213.87x = 12,312.99 × 2,663.31
  4. Step 4: Simplify right side
    8,213.87x = 32,793,309.40
  5. Step 5: Solve for x
    x = 32,793,309.40/8,213.87
  6. Step 6: Final answer
    x = 3,992.43

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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.