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Finding the Fourth Proportional to 11,778, 17,626.26 and 7,273.21

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Solution

The fourth proportional to 11,778, 17,626.26 and 7,273.21 is: 10,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778 : 17,626.26 = 7,273.21 : x
  2. Step 2: Convert to fraction form
    11,778/17,626.26 = 7,273.21/x
  3. Step 3: Cross multiply
    11,778x = 17,626.26 × 7,273.21
  4. Step 4: Simplify right side
    11,778x = 128,199,490.49
  5. Step 5: Solve for x
    x = 128,199,490.49/11,778
  6. Step 6: Final answer
    x = 10,884.66

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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.