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Finding the Fourth Proportional to 3,711.64, 5,563.44 and 1,489.60

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Solution

The fourth proportional to 3,711.64, 5,563.44 and 1,489.60 is: 2,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.64 : 5,563.44 = 1,489.60 : x
  2. Step 2: Convert to fraction form
    3,711.64/5,563.44 = 1,489.60/x
  3. Step 3: Cross multiply
    3,711.64x = 5,563.44 × 1,489.60
  4. Step 4: Simplify right side
    3,711.64x = 8,287,300.22
  5. Step 5: Solve for x
    x = 8,287,300.22/3,711.64
  6. Step 6: Final answer
    x = 2,232.79

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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.