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Finding the Fourth Proportional to 8,154.80, 12,224.10 and 3,764.60

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Solution

The fourth proportional to 8,154.80, 12,224.10 and 3,764.60 is: 5,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.80 : 12,224.10 = 3,764.60 : x
  2. Step 2: Convert to fraction form
    8,154.80/12,224.10 = 3,764.60/x
  3. Step 3: Cross multiply
    8,154.80x = 12,224.10 × 3,764.60
  4. Step 4: Simplify right side
    8,154.80x = 46,018,846.86
  5. Step 5: Solve for x
    x = 46,018,846.86/8,154.80
  6. Step 6: Final answer
    x = 5,643.16

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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.