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Finding the Fourth Proportional to 7,713.64, 11,561.82 and 3,601

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Solution

The fourth proportional to 7,713.64, 11,561.82 and 3,601 is: 5,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.64 : 11,561.82 = 3,601 : x
  2. Step 2: Convert to fraction form
    7,713.64/11,561.82 = 3,601/x
  3. Step 3: Cross multiply
    7,713.64x = 11,561.82 × 3,601
  4. Step 4: Simplify right side
    7,713.64x = 41,634,113.82
  5. Step 5: Solve for x
    x = 41,634,113.82/7,713.64
  6. Step 6: Final answer
    x = 5,397.47

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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.