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Finding the Fourth Proportional to 8,212.24, 12,311 and 3,014.48

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Solution

The fourth proportional to 8,212.24, 12,311 and 3,014.48 is: 4,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.24 : 12,311 = 3,014.48 : x
  2. Step 2: Convert to fraction form
    8,212.24/12,311 = 3,014.48/x
  3. Step 3: Cross multiply
    8,212.24x = 12,311 × 3,014.48
  4. Step 4: Simplify right side
    8,212.24x = 37,111,263.28
  5. Step 5: Solve for x
    x = 37,111,263.28/8,212.24
  6. Step 6: Final answer
    x = 4,519.02

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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.