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Finding the Fourth Proportional to 5,503, 7,590.78 and 3,614.80

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Solution

The fourth proportional to 5,503, 7,590.78 and 3,614.80 is: 4,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503 : 7,590.78 = 3,614.80 : x
  2. Step 2: Convert to fraction form
    5,503/7,590.78 = 3,614.80/x
  3. Step 3: Cross multiply
    5,503x = 7,590.78 × 3,614.80
  4. Step 4: Simplify right side
    5,503x = 27,439,151.54
  5. Step 5: Solve for x
    x = 27,439,151.54/5,503
  6. Step 6: Final answer
    x = 4,986.22

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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.