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Finding the Fourth Proportional to 7,193.44, 9,926.80 and 4,209.76

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Solution

The fourth proportional to 7,193.44, 9,926.80 and 4,209.76 is: 5,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.44 : 9,926.80 = 4,209.76 : x
  2. Step 2: Convert to fraction form
    7,193.44/9,926.80 = 4,209.76/x
  3. Step 3: Cross multiply
    7,193.44x = 9,926.80 × 4,209.76
  4. Step 4: Simplify right side
    7,193.44x = 41,789,445.57
  5. Step 5: Solve for x
    x = 41,789,445.57/7,193.44
  6. Step 6: Final answer
    x = 5,809.38

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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.