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Finding the Fourth Proportional to 6,469.48, 9,705.84 and 2,086.84

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Solution

The fourth proportional to 6,469.48, 9,705.84 and 2,086.84 is: 3,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.48 : 9,705.84 = 2,086.84 : x
  2. Step 2: Convert to fraction form
    6,469.48/9,705.84 = 2,086.84/x
  3. Step 3: Cross multiply
    6,469.48x = 9,705.84 × 2,086.84
  4. Step 4: Simplify right side
    6,469.48x = 20,254,535.15
  5. Step 5: Solve for x
    x = 20,254,535.15/6,469.48
  6. Step 6: Final answer
    x = 3,130.78

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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.