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Finding the Fourth Proportional to 17,951, 26,930.86 and 5,639

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Solution

The fourth proportional to 17,951, 26,930.86 and 5,639 is: 8,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951 : 26,930.86 = 5,639 : x
  2. Step 2: Convert to fraction form
    17,951/26,930.86 = 5,639/x
  3. Step 3: Cross multiply
    17,951x = 26,930.86 × 5,639
  4. Step 4: Simplify right side
    17,951x = 151,863,119.54
  5. Step 5: Solve for x
    x = 151,863,119.54/17,951
  6. Step 6: Final answer
    x = 8,459.87

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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.