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Finding the Fourth Proportional to 11,791, 17,678.85 and 6,246.96

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Solution

The fourth proportional to 11,791, 17,678.85 and 6,246.96 is: 9,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791 : 17,678.85 = 6,246.96 : x
  2. Step 2: Convert to fraction form
    11,791/17,678.85 = 6,246.96/x
  3. Step 3: Cross multiply
    11,791x = 17,678.85 × 6,246.96
  4. Step 4: Simplify right side
    11,791x = 110,438,980.40
  5. Step 5: Solve for x
    x = 110,438,980.40/11,791
  6. Step 6: Final answer
    x = 9,366.38

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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.