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Finding the Fourth Proportional to 6,778.42, 9,354.22 and 4,420.56

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Solution

The fourth proportional to 6,778.42, 9,354.22 and 4,420.56 is: 6,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.42 : 9,354.22 = 4,420.56 : x
  2. Step 2: Convert to fraction form
    6,778.42/9,354.22 = 4,420.56/x
  3. Step 3: Cross multiply
    6,778.42x = 9,354.22 × 4,420.56
  4. Step 4: Simplify right side
    6,778.42x = 41,350,890.76
  5. Step 5: Solve for x
    x = 41,350,890.76/6,778.42
  6. Step 6: Final answer
    x = 6,100.37

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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.