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Finding the Fourth Proportional to 2,762.67, 3,814.19 and 1,901.79

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Solution

The fourth proportional to 2,762.67, 3,814.19 and 1,901.79 is: 2,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.67 : 3,814.19 = 1,901.79 : x
  2. Step 2: Convert to fraction form
    2,762.67/3,814.19 = 1,901.79/x
  3. Step 3: Cross multiply
    2,762.67x = 3,814.19 × 1,901.79
  4. Step 4: Simplify right side
    2,762.67x = 7,253,788.40
  5. Step 5: Solve for x
    x = 7,253,788.40/2,762.67
  6. Step 6: Final answer
    x = 2,625.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.