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Finding the Fourth Proportional to 6,813.63, 10,221.63 and 2,655.90

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Solution

The fourth proportional to 6,813.63, 10,221.63 and 2,655.90 is: 3,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.63 : 10,221.63 = 2,655.90 : x
  2. Step 2: Convert to fraction form
    6,813.63/10,221.63 = 2,655.90/x
  3. Step 3: Cross multiply
    6,813.63x = 10,221.63 × 2,655.90
  4. Step 4: Simplify right side
    6,813.63x = 27,147,627.12
  5. Step 5: Solve for x
    x = 27,147,627.12/6,813.63
  6. Step 6: Final answer
    x = 3,984.31

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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.