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Finding the Fourth Proportional to 9,659.82, 14,489.46 and 3,086.40

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Solution

The fourth proportional to 9,659.82, 14,489.46 and 3,086.40 is: 4,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.82 : 14,489.46 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    9,659.82/14,489.46 = 3,086.40/x
  3. Step 3: Cross multiply
    9,659.82x = 14,489.46 × 3,086.40
  4. Step 4: Simplify right side
    9,659.82x = 44,720,269.34
  5. Step 5: Solve for x
    x = 44,720,269.34/9,659.82
  6. Step 6: Final answer
    x = 4,629.51

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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.