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Finding the Fourth Proportional to 2,760.74, 4,141.62 and 911.98

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Solution

The fourth proportional to 2,760.74, 4,141.62 and 911.98 is: 1,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.74 : 4,141.62 = 911.98 : x
  2. Step 2: Convert to fraction form
    2,760.74/4,141.62 = 911.98/x
  3. Step 3: Cross multiply
    2,760.74x = 4,141.62 × 911.98
  4. Step 4: Simplify right side
    2,760.74x = 3,777,074.61
  5. Step 5: Solve for x
    x = 3,777,074.61/2,760.74
  6. Step 6: Final answer
    x = 1,368.14

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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.