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Finding the Fourth Proportional to 11,553, 17,332.38 and 3,345

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Solution

The fourth proportional to 11,553, 17,332.38 and 3,345 is: 5,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553 : 17,332.38 = 3,345 : x
  2. Step 2: Convert to fraction form
    11,553/17,332.38 = 3,345/x
  3. Step 3: Cross multiply
    11,553x = 17,332.38 × 3,345
  4. Step 4: Simplify right side
    11,553x = 57,976,811.10
  5. Step 5: Solve for x
    x = 57,976,811.10/11,553
  6. Step 6: Final answer
    x = 5,018.33

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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.