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Finding the Fourth Proportional to 11,563, 17,348.39 and 3,666.80

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Solution

The fourth proportional to 11,563, 17,348.39 and 3,666.80 is: 5,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 17,348.39 = 3,666.80 : x
  2. Step 2: Convert to fraction form
    11,563/17,348.39 = 3,666.80/x
  3. Step 3: Cross multiply
    11,563x = 17,348.39 × 3,666.80
  4. Step 4: Simplify right side
    11,563x = 63,613,076.45
  5. Step 5: Solve for x
    x = 63,613,076.45/11,563
  6. Step 6: Final answer
    x = 5,501.43

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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.