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Finding the Fourth Proportional to 4,969, 7,456.74 and 1,891

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Solution

The fourth proportional to 4,969, 7,456.74 and 1,891 is: 2,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969 : 7,456.74 = 1,891 : x
  2. Step 2: Convert to fraction form
    4,969/7,456.74 = 1,891/x
  3. Step 3: Cross multiply
    4,969x = 7,456.74 × 1,891
  4. Step 4: Simplify right side
    4,969x = 14,100,695.34
  5. Step 5: Solve for x
    x = 14,100,695.34/4,969
  6. Step 6: Final answer
    x = 2,837.73

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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.