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Finding the Fourth Proportional to 8,951, 12,353 and 5,174.92

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Solution

The fourth proportional to 8,951, 12,353 and 5,174.92 is: 7,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951 : 12,353 = 5,174.92 : x
  2. Step 2: Convert to fraction form
    8,951/12,353 = 5,174.92/x
  3. Step 3: Cross multiply
    8,951x = 12,353 × 5,174.92
  4. Step 4: Simplify right side
    8,951x = 63,925,786.76
  5. Step 5: Solve for x
    x = 63,925,786.76/8,951
  6. Step 6: Final answer
    x = 7,141.75

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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.