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Finding the Fourth Proportional to 11,662.54, 17,490 and 3,869.26

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Solution

The fourth proportional to 11,662.54, 17,490 and 3,869.26 is: 5,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.54 : 17,490 = 3,869.26 : x
  2. Step 2: Convert to fraction form
    11,662.54/17,490 = 3,869.26/x
  3. Step 3: Cross multiply
    11,662.54x = 17,490 × 3,869.26
  4. Step 4: Simplify right side
    11,662.54x = 67,673,357.40
  5. Step 5: Solve for x
    x = 67,673,357.40/11,662.54
  6. Step 6: Final answer
    x = 5,802.63

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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.