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Finding the Fourth Proportional to 1,976.91, 2,728.16 and 1,137.63

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Solution

The fourth proportional to 1,976.91, 2,728.16 and 1,137.63 is: 1,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.91 : 2,728.16 = 1,137.63 : x
  2. Step 2: Convert to fraction form
    1,976.91/2,728.16 = 1,137.63/x
  3. Step 3: Cross multiply
    1,976.91x = 2,728.16 × 1,137.63
  4. Step 4: Simplify right side
    1,976.91x = 3,103,630.97
  5. Step 5: Solve for x
    x = 3,103,630.97/1,976.91
  6. Step 6: Final answer
    x = 1,569.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.