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Finding the Fourth Proportional to 8,215.59, 12,314.34 and 3,829.44

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Solution

The fourth proportional to 8,215.59, 12,314.34 and 3,829.44 is: 5,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.59 : 12,314.34 = 3,829.44 : x
  2. Step 2: Convert to fraction form
    8,215.59/12,314.34 = 3,829.44/x
  3. Step 3: Cross multiply
    8,215.59x = 12,314.34 × 3,829.44
  4. Step 4: Simplify right side
    8,215.59x = 47,157,026.17
  5. Step 5: Solve for x
    x = 47,157,026.17/8,215.59
  6. Step 6: Final answer
    x = 5,739.94

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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.