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Finding the Fourth Proportional to 3,899.86, 5,849.61 and 1,434.51

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Solution

The fourth proportional to 3,899.86, 5,849.61 and 1,434.51 is: 2,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.86 : 5,849.61 = 1,434.51 : x
  2. Step 2: Convert to fraction form
    3,899.86/5,849.61 = 1,434.51/x
  3. Step 3: Cross multiply
    3,899.86x = 5,849.61 × 1,434.51
  4. Step 4: Simplify right side
    3,899.86x = 8,391,324.04
  5. Step 5: Solve for x
    x = 8,391,324.04/3,899.86
  6. Step 6: Final answer
    x = 2,151.70

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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.