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Finding the Fourth Proportional to 6,777.96, 9,350.50 and 4,420.20

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Solution

The fourth proportional to 6,777.96, 9,350.50 and 4,420.20 is: 6,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.96 : 9,350.50 = 4,420.20 : x
  2. Step 2: Convert to fraction form
    6,777.96/9,350.50 = 4,420.20/x
  3. Step 3: Cross multiply
    6,777.96x = 9,350.50 × 4,420.20
  4. Step 4: Simplify right side
    6,777.96x = 41,331,080.10
  5. Step 5: Solve for x
    x = 41,331,080.10/6,777.96
  6. Step 6: Final answer
    x = 6,097.86

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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.