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Finding the Fourth Proportional to 11,763.48, 17,640.53 and 5,185

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Solution

The fourth proportional to 11,763.48, 17,640.53 and 5,185 is: 7,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.48 : 17,640.53 = 5,185 : x
  2. Step 2: Convert to fraction form
    11,763.48/17,640.53 = 5,185/x
  3. Step 3: Cross multiply
    11,763.48x = 17,640.53 × 5,185
  4. Step 4: Simplify right side
    11,763.48x = 91,466,148.05
  5. Step 5: Solve for x
    x = 91,466,148.05/11,763.48
  6. Step 6: Final answer
    x = 7,775.43

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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.