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Finding the Fourth Proportional to 7,169, 9,893.22 and 5,517.80

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Solution

The fourth proportional to 7,169, 9,893.22 and 5,517.80 is: 7,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169 : 9,893.22 = 5,517.80 : x
  2. Step 2: Convert to fraction form
    7,169/9,893.22 = 5,517.80/x
  3. Step 3: Cross multiply
    7,169x = 9,893.22 × 5,517.80
  4. Step 4: Simplify right side
    7,169x = 54,588,809.32
  5. Step 5: Solve for x
    x = 54,588,809.32/7,169
  6. Step 6: Final answer
    x = 7,614.56

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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.