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Finding the Fourth Proportional to 2,155.94, 2,976.41 and 1,410.66

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Solution

The fourth proportional to 2,155.94, 2,976.41 and 1,410.66 is: 1,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.94 : 2,976.41 = 1,410.66 : x
  2. Step 2: Convert to fraction form
    2,155.94/2,976.41 = 1,410.66/x
  3. Step 3: Cross multiply
    2,155.94x = 2,976.41 × 1,410.66
  4. Step 4: Simplify right side
    2,155.94x = 4,198,695.48
  5. Step 5: Solve for x
    x = 4,198,695.48/2,155.94
  6. Step 6: Final answer
    x = 1,947.51

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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.