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Finding the Fourth Proportional to 2,989.68, 4,489.56 and 2,469.84

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Solution

The fourth proportional to 2,989.68, 4,489.56 and 2,469.84 is: 3,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.68 : 4,489.56 = 2,469.84 : x
  2. Step 2: Convert to fraction form
    2,989.68/4,489.56 = 2,469.84/x
  3. Step 3: Cross multiply
    2,989.68x = 4,489.56 × 2,469.84
  4. Step 4: Simplify right side
    2,989.68x = 11,088,494.87
  5. Step 5: Solve for x
    x = 11,088,494.87/2,989.68
  6. Step 6: Final answer
    x = 3,708.92

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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.