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Finding the Fourth Proportional to 11,563.65, 17,363.70 and 6,642.90

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Solution

The fourth proportional to 11,563.65, 17,363.70 and 6,642.90 is: 9,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.65 : 17,363.70 = 6,642.90 : x
  2. Step 2: Convert to fraction form
    11,563.65/17,363.70 = 6,642.90/x
  3. Step 3: Cross multiply
    11,563.65x = 17,363.70 × 6,642.90
  4. Step 4: Simplify right side
    11,563.65x = 115,345,322.73
  5. Step 5: Solve for x
    x = 115,345,322.73/11,563.65
  6. Step 6: Final answer
    x = 9,974.82

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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.