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Finding the Fourth Proportional to 7,100.38, 9,796.88 and 4,266.80

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Solution

The fourth proportional to 7,100.38, 9,796.88 and 4,266.80 is: 5,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.38 : 9,796.88 = 4,266.80 : x
  2. Step 2: Convert to fraction form
    7,100.38/9,796.88 = 4,266.80/x
  3. Step 3: Cross multiply
    7,100.38x = 9,796.88 × 4,266.80
  4. Step 4: Simplify right side
    7,100.38x = 41,801,327.58
  5. Step 5: Solve for x
    x = 41,801,327.58/7,100.38
  6. Step 6: Final answer
    x = 5,887.20

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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.