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Finding the Fourth Proportional to 10,311, 15,466.44 and 2,519.76

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Solution

The fourth proportional to 10,311, 15,466.44 and 2,519.76 is: 3,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 15,466.44 = 2,519.76 : x
  2. Step 2: Convert to fraction form
    10,311/15,466.44 = 2,519.76/x
  3. Step 3: Cross multiply
    10,311x = 15,466.44 × 2,519.76
  4. Step 4: Simplify right side
    10,311x = 38,971,716.85
  5. Step 5: Solve for x
    x = 38,971,716.85/10,311
  6. Step 6: Final answer
    x = 3,779.63

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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.