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Finding the Fourth Proportional to 3,947.44, 5,919.09 and 1,970.92

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Solution

The fourth proportional to 3,947.44, 5,919.09 and 1,970.92 is: 2,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.44 : 5,919.09 = 1,970.92 : x
  2. Step 2: Convert to fraction form
    3,947.44/5,919.09 = 1,970.92/x
  3. Step 3: Cross multiply
    3,947.44x = 5,919.09 × 1,970.92
  4. Step 4: Simplify right side
    3,947.44x = 11,666,052.86
  5. Step 5: Solve for x
    x = 11,666,052.86/3,947.44
  6. Step 6: Final answer
    x = 2,955.35

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1.5x scale

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.