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Finding the Fourth Proportional to 5,156.26, 7,734.30 and 1,646.49

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Solution

The fourth proportional to 5,156.26, 7,734.30 and 1,646.49 is: 2,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.26 : 7,734.30 = 1,646.49 : x
  2. Step 2: Convert to fraction form
    5,156.26/7,734.30 = 1,646.49/x
  3. Step 3: Cross multiply
    5,156.26x = 7,734.30 × 1,646.49
  4. Step 4: Simplify right side
    5,156.26x = 12,734,408.94
  5. Step 5: Solve for x
    x = 12,734,408.94/5,156.26
  6. Step 6: Final answer
    x = 2,469.70

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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.