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Finding the Fourth Proportional to 10,919, 15,068.22 and 5,951

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Solution

The fourth proportional to 10,919, 15,068.22 and 5,951 is: 8,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919 : 15,068.22 = 5,951 : x
  2. Step 2: Convert to fraction form
    10,919/15,068.22 = 5,951/x
  3. Step 3: Cross multiply
    10,919x = 15,068.22 × 5,951
  4. Step 4: Simplify right side
    10,919x = 89,670,977.22
  5. Step 5: Solve for x
    x = 89,670,977.22/10,919
  6. Step 6: Final answer
    x = 8,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.