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Finding the Fourth Proportional to 2,767.44, 4,151.58 and 919.02

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Solution

The fourth proportional to 2,767.44, 4,151.58 and 919.02 is: 1,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.44 : 4,151.58 = 919.02 : x
  2. Step 2: Convert to fraction form
    2,767.44/4,151.58 = 919.02/x
  3. Step 3: Cross multiply
    2,767.44x = 4,151.58 × 919.02
  4. Step 4: Simplify right side
    2,767.44x = 3,815,385.05
  5. Step 5: Solve for x
    x = 3,815,385.05/2,767.44
  6. Step 6: Final answer
    x = 1,378.67

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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.