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Finding the Fourth Proportional to 5,138.94, 7,709.46 and 1,629.86

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Solution

The fourth proportional to 5,138.94, 7,709.46 and 1,629.86 is: 2,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.94 : 7,709.46 = 1,629.86 : x
  2. Step 2: Convert to fraction form
    5,138.94/7,709.46 = 1,629.86/x
  3. Step 3: Cross multiply
    5,138.94x = 7,709.46 × 1,629.86
  4. Step 4: Simplify right side
    5,138.94x = 12,565,340.48
  5. Step 5: Solve for x
    x = 12,565,340.48/5,138.94
  6. Step 6: Final answer
    x = 2,445.12

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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.