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Finding the Fourth Proportional to 5,311, 7,969.38 and 2,575

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Solution

The fourth proportional to 5,311, 7,969.38 and 2,575 is: 3,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311 : 7,969.38 = 2,575 : x
  2. Step 2: Convert to fraction form
    5,311/7,969.38 = 2,575/x
  3. Step 3: Cross multiply
    5,311x = 7,969.38 × 2,575
  4. Step 4: Simplify right side
    5,311x = 20,521,153.50
  5. Step 5: Solve for x
    x = 20,521,153.50/5,311
  6. Step 6: Final answer
    x = 3,863.90

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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.