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Finding the Fourth Proportional to 9,221.79, 13,826.21 and 3,377.64

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Solution

The fourth proportional to 9,221.79, 13,826.21 and 3,377.64 is: 5,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.79 : 13,826.21 = 3,377.64 : x
  2. Step 2: Convert to fraction form
    9,221.79/13,826.21 = 3,377.64/x
  3. Step 3: Cross multiply
    9,221.79x = 13,826.21 × 3,377.64
  4. Step 4: Simplify right side
    9,221.79x = 46,699,943.06
  5. Step 5: Solve for x
    x = 46,699,943.06/9,221.79
  6. Step 6: Final answer
    x = 5,064.09

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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.