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Finding the Fourth Proportional to 2,762.95, 4,144 and 914.07

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Solution

The fourth proportional to 2,762.95, 4,144 and 914.07 is: 1,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.95 : 4,144 = 914.07 : x
  2. Step 2: Convert to fraction form
    2,762.95/4,144 = 914.07/x
  3. Step 3: Cross multiply
    2,762.95x = 4,144 × 914.07
  4. Step 4: Simplify right side
    2,762.95x = 3,787,906.08
  5. Step 5: Solve for x
    x = 3,787,906.08/2,762.95
  6. Step 6: Final answer
    x = 1,370.97

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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.