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Finding the Fourth Proportional to 2,762.72, 3,811.89 and 1,567.44

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Solution

The fourth proportional to 2,762.72, 3,811.89 and 1,567.44 is: 2,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.72 : 3,811.89 = 1,567.44 : x
  2. Step 2: Convert to fraction form
    2,762.72/3,811.89 = 1,567.44/x
  3. Step 3: Cross multiply
    2,762.72x = 3,811.89 × 1,567.44
  4. Step 4: Simplify right side
    2,762.72x = 5,974,908.86
  5. Step 5: Solve for x
    x = 5,974,908.86/2,762.72
  6. Step 6: Final answer
    x = 2,162.69

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