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Finding the Fourth Proportional to 3,899.93, 5,838.41 and 2,434.64

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Solution

The fourth proportional to 3,899.93, 5,838.41 and 2,434.64 is: 3,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.93 : 5,838.41 = 2,434.64 : x
  2. Step 2: Convert to fraction form
    3,899.93/5,838.41 = 2,434.64/x
  3. Step 3: Cross multiply
    3,899.93x = 5,838.41 × 2,434.64
  4. Step 4: Simplify right side
    3,899.93x = 14,214,403.42
  5. Step 5: Solve for x
    x = 14,214,403.42/3,899.93
  6. Step 6: Final answer
    x = 3,644.79

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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.