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Finding the Fourth Proportional to 7,821, 11,731.62 and 2,349

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Solution

The fourth proportional to 7,821, 11,731.62 and 2,349 is: 3,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 11,731.62 = 2,349 : x
  2. Step 2: Convert to fraction form
    7,821/11,731.62 = 2,349/x
  3. Step 3: Cross multiply
    7,821x = 11,731.62 × 2,349
  4. Step 4: Simplify right side
    7,821x = 27,557,575.38
  5. Step 5: Solve for x
    x = 27,557,575.38/7,821
  6. Step 6: Final answer
    x = 3,523.54

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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.