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Finding the Fourth Proportional to 6,899.38, 9,519.83 and 4,381.90

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Solution

The fourth proportional to 6,899.38, 9,519.83 and 4,381.90 is: 6,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.38 : 9,519.83 = 4,381.90 : x
  2. Step 2: Convert to fraction form
    6,899.38/9,519.83 = 4,381.90/x
  3. Step 3: Cross multiply
    6,899.38x = 9,519.83 × 4,381.90
  4. Step 4: Simplify right side
    6,899.38x = 41,714,913.80
  5. Step 5: Solve for x
    x = 41,714,913.80/6,899.38
  6. Step 6: Final answer
    x = 6,046.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.