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Finding the Fourth Proportional to 6,462.67, 8,918.64 and 3,630.05

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Solution

The fourth proportional to 6,462.67, 8,918.64 and 3,630.05 is: 5,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.67 : 8,918.64 = 3,630.05 : x
  2. Step 2: Convert to fraction form
    6,462.67/8,918.64 = 3,630.05/x
  3. Step 3: Cross multiply
    6,462.67x = 8,918.64 × 3,630.05
  4. Step 4: Simplify right side
    6,462.67x = 32,375,109.13
  5. Step 5: Solve for x
    x = 32,375,109.13/6,462.67
  6. Step 6: Final answer
    x = 5,009.56

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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.