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Finding the Fourth Proportional to 10,907, 15,051.68 and 5,939

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Solution

The fourth proportional to 10,907, 15,051.68 and 5,939 is: 8,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907 : 15,051.68 = 5,939 : x
  2. Step 2: Convert to fraction form
    10,907/15,051.68 = 5,939/x
  3. Step 3: Cross multiply
    10,907x = 15,051.68 × 5,939
  4. Step 4: Simplify right side
    10,907x = 89,391,927.52
  5. Step 5: Solve for x
    x = 89,391,927.52/10,907
  6. Step 6: Final answer
    x = 8,195.83

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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.