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Finding the Fourth Proportional to 1,976.92, 2,729.06 and 1,410.19

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Solution

The fourth proportional to 1,976.92, 2,729.06 and 1,410.19 is: 1,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.92 : 2,729.06 = 1,410.19 : x
  2. Step 2: Convert to fraction form
    1,976.92/2,729.06 = 1,410.19/x
  3. Step 3: Cross multiply
    1,976.92x = 2,729.06 × 1,410.19
  4. Step 4: Simplify right side
    1,976.92x = 3,848,486.07
  5. Step 5: Solve for x
    x = 3,848,486.07/1,976.92
  6. Step 6: Final answer
    x = 1,946.71

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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.