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Finding the Fourth Proportional to 11,764.70, 17,653.11 and 7,818.69

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Solution

The fourth proportional to 11,764.70, 17,653.11 and 7,818.69 is: 11,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.70 : 17,653.11 = 7,818.69 : x
  2. Step 2: Convert to fraction form
    11,764.70/17,653.11 = 7,818.69/x
  3. Step 3: Cross multiply
    11,764.70x = 17,653.11 × 7,818.69
  4. Step 4: Simplify right side
    11,764.70x = 138,024,194.63
  5. Step 5: Solve for x
    x = 138,024,194.63/11,764.70
  6. Step 6: Final answer
    x = 11,732.06

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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.