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Finding the Fourth Proportional to 8,145.30, 12,220.10 and 3,213.74

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Solution

The fourth proportional to 8,145.30, 12,220.10 and 3,213.74 is: 4,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.30 : 12,220.10 = 3,213.74 : x
  2. Step 2: Convert to fraction form
    8,145.30/12,220.10 = 3,213.74/x
  3. Step 3: Cross multiply
    8,145.30x = 12,220.10 × 3,213.74
  4. Step 4: Simplify right side
    8,145.30x = 39,272,224.17
  5. Step 5: Solve for x
    x = 39,272,224.17/8,145.30
  6. Step 6: Final answer
    x = 4,821.46

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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.