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Finding the Fourth Proportional to 5,168.86, 7,749.84 and 2,671.57

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Solution

The fourth proportional to 5,168.86, 7,749.84 and 2,671.57 is: 4,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.86 : 7,749.84 = 2,671.57 : x
  2. Step 2: Convert to fraction form
    5,168.86/7,749.84 = 2,671.57/x
  3. Step 3: Cross multiply
    5,168.86x = 7,749.84 × 2,671.57
  4. Step 4: Simplify right side
    5,168.86x = 20,704,240.05
  5. Step 5: Solve for x
    x = 20,704,240.05/5,168.86
  6. Step 6: Final answer
    x = 4,005.57

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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.