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Finding the Fourth Proportional to 11,753, 16,219.62 and 6,785

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Solution

The fourth proportional to 11,753, 16,219.62 and 6,785 is: 9,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753 : 16,219.62 = 6,785 : x
  2. Step 2: Convert to fraction form
    11,753/16,219.62 = 6,785/x
  3. Step 3: Cross multiply
    11,753x = 16,219.62 × 6,785
  4. Step 4: Simplify right side
    11,753x = 110,050,121.70
  5. Step 5: Solve for x
    x = 110,050,121.70/11,753
  6. Step 6: Final answer
    x = 9,363.58

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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.