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Finding the Fourth Proportional to 6,789.60, 10,182.60 and 2,406.60

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Solution

The fourth proportional to 6,789.60, 10,182.60 and 2,406.60 is: 3,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.60 : 10,182.60 = 2,406.60 : x
  2. Step 2: Convert to fraction form
    6,789.60/10,182.60 = 2,406.60/x
  3. Step 3: Cross multiply
    6,789.60x = 10,182.60 × 2,406.60
  4. Step 4: Simplify right side
    6,789.60x = 24,505,445.16
  5. Step 5: Solve for x
    x = 24,505,445.16/6,789.60
  6. Step 6: Final answer
    x = 3,609.26

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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.