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Finding the Fourth Proportional to 6,820.47, 9,418.55 and 6,452.19

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Solution

The fourth proportional to 6,820.47, 9,418.55 and 6,452.19 is: 8,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.47 : 9,418.55 = 6,452.19 : x
  2. Step 2: Convert to fraction form
    6,820.47/9,418.55 = 6,452.19/x
  3. Step 3: Cross multiply
    6,820.47x = 9,418.55 × 6,452.19
  4. Step 4: Simplify right side
    6,820.47x = 60,770,241.86
  5. Step 5: Solve for x
    x = 60,770,241.86/6,820.47
  6. Step 6: Final answer
    x = 8,909.98

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1.5x scale

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.