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Finding the Fourth Proportional to 2,838.64, 4,258.65 and 890.85

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Solution

The fourth proportional to 2,838.64, 4,258.65 and 890.85 is: 1,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.64 : 4,258.65 = 890.85 : x
  2. Step 2: Convert to fraction form
    2,838.64/4,258.65 = 890.85/x
  3. Step 3: Cross multiply
    2,838.64x = 4,258.65 × 890.85
  4. Step 4: Simplify right side
    2,838.64x = 3,793,794.83
  5. Step 5: Solve for x
    x = 3,793,794.83/2,838.64
  6. Step 6: Final answer
    x = 1,336.48

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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.