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Finding the Fourth Proportional to 9,503, 13,115.76 and 5,310.44

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Solution

The fourth proportional to 9,503, 13,115.76 and 5,310.44 is: 7,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503 : 13,115.76 = 5,310.44 : x
  2. Step 2: Convert to fraction form
    9,503/13,115.76 = 5,310.44/x
  3. Step 3: Cross multiply
    9,503x = 13,115.76 × 5,310.44
  4. Step 4: Simplify right side
    9,503x = 69,650,456.53
  5. Step 5: Solve for x
    x = 69,650,456.53/9,503
  6. Step 6: Final answer
    x = 7,329.31

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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.