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Finding the Fourth Proportional to 2,894.11, 4,339.87 and 919.18

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Solution

The fourth proportional to 2,894.11, 4,339.87 and 919.18 is: 1,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.11 : 4,339.87 = 919.18 : x
  2. Step 2: Convert to fraction form
    2,894.11/4,339.87 = 919.18/x
  3. Step 3: Cross multiply
    2,894.11x = 4,339.87 × 919.18
  4. Step 4: Simplify right side
    2,894.11x = 3,989,121.71
  5. Step 5: Solve for x
    x = 3,989,121.71/2,894.11
  6. Step 6: Final answer
    x = 1,378.36

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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.