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Finding the Fourth Proportional to 5,150.28, 7,723.12 and 1,639.63

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Solution

The fourth proportional to 5,150.28, 7,723.12 and 1,639.63 is: 2,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.28 : 7,723.12 = 1,639.63 : x
  2. Step 2: Convert to fraction form
    5,150.28/7,723.12 = 1,639.63/x
  3. Step 3: Cross multiply
    5,150.28x = 7,723.12 × 1,639.63
  4. Step 4: Simplify right side
    5,150.28x = 12,663,059.25
  5. Step 5: Solve for x
    x = 12,663,059.25/5,150.28
  6. Step 6: Final answer
    x = 2,458.71

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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.