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Finding the Fourth Proportional to 8,951, 13,424.70 and 3,107.84

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Solution

The fourth proportional to 8,951, 13,424.70 and 3,107.84 is: 4,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951 : 13,424.70 = 3,107.84 : x
  2. Step 2: Convert to fraction form
    8,951/13,424.70 = 3,107.84/x
  3. Step 3: Cross multiply
    8,951x = 13,424.70 × 3,107.84
  4. Step 4: Simplify right side
    8,951x = 41,721,819.65
  5. Step 5: Solve for x
    x = 41,721,819.65/8,951
  6. Step 6: Final answer
    x = 4,661.14

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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.