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Finding the Fourth Proportional to 11,505.78, 17,244.63 and 4,918.05

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Solution

The fourth proportional to 11,505.78, 17,244.63 and 4,918.05 is: 7,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.78 : 17,244.63 = 4,918.05 : x
  2. Step 2: Convert to fraction form
    11,505.78/17,244.63 = 4,918.05/x
  3. Step 3: Cross multiply
    11,505.78x = 17,244.63 × 4,918.05
  4. Step 4: Simplify right side
    11,505.78x = 84,809,952.57
  5. Step 5: Solve for x
    x = 84,809,952.57/11,505.78
  6. Step 6: Final answer
    x = 7,371.07

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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.