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Finding the Fourth Proportional to 9,635, 13,296.30 and 5,219

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Solution

The fourth proportional to 9,635, 13,296.30 and 5,219 is: 7,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635 : 13,296.30 = 5,219 : x
  2. Step 2: Convert to fraction form
    9,635/13,296.30 = 5,219/x
  3. Step 3: Cross multiply
    9,635x = 13,296.30 × 5,219
  4. Step 4: Simplify right side
    9,635x = 69,393,389.70
  5. Step 5: Solve for x
    x = 69,393,389.70/9,635
  6. Step 6: Final answer
    x = 7,202.22

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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.