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Finding the Fourth Proportional to 8,146.77, 12,224 and 3,765.07

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Solution

The fourth proportional to 8,146.77, 12,224 and 3,765.07 is: 5,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.77 : 12,224 = 3,765.07 : x
  2. Step 2: Convert to fraction form
    8,146.77/12,224 = 3,765.07/x
  3. Step 3: Cross multiply
    8,146.77x = 12,224 × 3,765.07
  4. Step 4: Simplify right side
    8,146.77x = 46,024,215.68
  5. Step 5: Solve for x
    x = 46,024,215.68/8,146.77
  6. Step 6: Final answer
    x = 5,649.38

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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.