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Finding the Fourth Proportional to 5,311.54, 7,965.33 and 1,612.66

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Solution

The fourth proportional to 5,311.54, 7,965.33 and 1,612.66 is: 2,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.54 : 7,965.33 = 1,612.66 : x
  2. Step 2: Convert to fraction form
    5,311.54/7,965.33 = 1,612.66/x
  3. Step 3: Cross multiply
    5,311.54x = 7,965.33 × 1,612.66
  4. Step 4: Simplify right side
    5,311.54x = 12,845,369.08
  5. Step 5: Solve for x
    x = 12,845,369.08/5,311.54
  6. Step 6: Final answer
    x = 2,418.39

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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.