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Finding the Fourth Proportional to 6,439.96, 9,659.96 and 2,280.02

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Solution

The fourth proportional to 6,439.96, 9,659.96 and 2,280.02 is: 3,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.96 : 9,659.96 = 2,280.02 : x
  2. Step 2: Convert to fraction form
    6,439.96/9,659.96 = 2,280.02/x
  3. Step 3: Cross multiply
    6,439.96x = 9,659.96 × 2,280.02
  4. Step 4: Simplify right side
    6,439.96x = 22,024,850.85
  5. Step 5: Solve for x
    x = 22,024,850.85/6,439.96
  6. Step 6: Final answer
    x = 3,420.03

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1.5x scale

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.