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Finding the Fourth Proportional to 6,381.59, 9,574.11 and 2,221.83

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Solution

The fourth proportional to 6,381.59, 9,574.11 and 2,221.83 is: 3,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.59 : 9,574.11 = 2,221.83 : x
  2. Step 2: Convert to fraction form
    6,381.59/9,574.11 = 2,221.83/x
  3. Step 3: Cross multiply
    6,381.59x = 9,574.11 × 2,221.83
  4. Step 4: Simplify right side
    6,381.59x = 21,272,044.82
  5. Step 5: Solve for x
    x = 21,272,044.82/6,381.59
  6. Step 6: Final answer
    x = 3,333.35

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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.