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Finding the Fourth Proportional to 2,894.22, 4,339.68 and 919.47

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Solution

The fourth proportional to 2,894.22, 4,339.68 and 919.47 is: 1,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.22 : 4,339.68 = 919.47 : x
  2. Step 2: Convert to fraction form
    2,894.22/4,339.68 = 919.47/x
  3. Step 3: Cross multiply
    2,894.22x = 4,339.68 × 919.47
  4. Step 4: Simplify right side
    2,894.22x = 3,990,205.57
  5. Step 5: Solve for x
    x = 3,990,205.57/2,894.22
  6. Step 6: Final answer
    x = 1,378.68

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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.