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Finding the Fourth Proportional to 6,522, 9,782.24 and 2,138.38

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Solution

The fourth proportional to 6,522, 9,782.24 and 2,138.38 is: 3,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522 : 9,782.24 = 2,138.38 : x
  2. Step 2: Convert to fraction form
    6,522/9,782.24 = 2,138.38/x
  3. Step 3: Cross multiply
    6,522x = 9,782.24 × 2,138.38
  4. Step 4: Simplify right side
    6,522x = 20,918,146.37
  5. Step 5: Solve for x
    x = 20,918,146.37/6,522
  6. Step 6: Final answer
    x = 3,207.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.