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Finding the Fourth Proportional to 3,775.09, 5,661.18 and 1,433.86

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Solution

The fourth proportional to 3,775.09, 5,661.18 and 1,433.86 is: 2,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.09 : 5,661.18 = 1,433.86 : x
  2. Step 2: Convert to fraction form
    3,775.09/5,661.18 = 1,433.86/x
  3. Step 3: Cross multiply
    3,775.09x = 5,661.18 × 1,433.86
  4. Step 4: Simplify right side
    3,775.09x = 8,117,335.97
  5. Step 5: Solve for x
    x = 8,117,335.97/3,775.09
  6. Step 6: Final answer
    x = 2,150.24

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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.