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Finding the Fourth Proportional to 9,221.64, 13,834.78 and 2,648.40

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Solution

The fourth proportional to 9,221.64, 13,834.78 and 2,648.40 is: 3,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.64 : 13,834.78 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    9,221.64/13,834.78 = 2,648.40/x
  3. Step 3: Cross multiply
    9,221.64x = 13,834.78 × 2,648.40
  4. Step 4: Simplify right side
    9,221.64x = 36,640,031.35
  5. Step 5: Solve for x
    x = 36,640,031.35/9,221.64
  6. Step 6: Final answer
    x = 3,973.27

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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.