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Finding the Fourth Proportional to 3,899.86, 5,849.71 and 1,267.45

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Solution

The fourth proportional to 3,899.86, 5,849.71 and 1,267.45 is: 1,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.86 : 5,849.71 = 1,267.45 : x
  2. Step 2: Convert to fraction form
    3,899.86/5,849.71 = 1,267.45/x
  3. Step 3: Cross multiply
    3,899.86x = 5,849.71 × 1,267.45
  4. Step 4: Simplify right side
    3,899.86x = 7,414,197.15
  5. Step 5: Solve for x
    x = 7,414,197.15/3,899.86
  6. Step 6: Final answer
    x = 1,901.15

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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.