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Finding the Fourth Proportional to 1,894.91, 2,838.57 and 1,505.57

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Solution

The fourth proportional to 1,894.91, 2,838.57 and 1,505.57 is: 2,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.91 : 2,838.57 = 1,505.57 : x
  2. Step 2: Convert to fraction form
    1,894.91/2,838.57 = 1,505.57/x
  3. Step 3: Cross multiply
    1,894.91x = 2,838.57 × 1,505.57
  4. Step 4: Simplify right side
    1,894.91x = 4,273,665.83
  5. Step 5: Solve for x
    x = 4,273,665.83/1,894.91
  6. Step 6: Final answer
    x = 2,255.34

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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.