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Finding the Fourth Proportional to 6,522.52, 9,784.62 and 2,138.68

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Solution

The fourth proportional to 6,522.52, 9,784.62 and 2,138.68 is: 3,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.52 : 9,784.62 = 2,138.68 : x
  2. Step 2: Convert to fraction form
    6,522.52/9,784.62 = 2,138.68/x
  3. Step 3: Cross multiply
    6,522.52x = 9,784.62 × 2,138.68
  4. Step 4: Simplify right side
    6,522.52x = 20,926,171.10
  5. Step 5: Solve for x
    x = 20,926,171.10/6,522.52
  6. Step 6: Final answer
    x = 3,208.30

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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.