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Finding the Fourth Proportional to 8,414.12, 12,621.24 and 3,483.69

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Solution

The fourth proportional to 8,414.12, 12,621.24 and 3,483.69 is: 5,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.12 : 12,621.24 = 3,483.69 : x
  2. Step 2: Convert to fraction form
    8,414.12/12,621.24 = 3,483.69/x
  3. Step 3: Cross multiply
    8,414.12x = 12,621.24 × 3,483.69
  4. Step 4: Simplify right side
    8,414.12x = 43,968,487.58
  5. Step 5: Solve for x
    x = 43,968,487.58/8,414.12
  6. Step 6: Final answer
    x = 5,225.56

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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.