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Finding the Fourth Proportional to 1,965.22, 2,947.84 and 1,347.06

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Solution

The fourth proportional to 1,965.22, 2,947.84 and 1,347.06 is: 2,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.22 : 2,947.84 = 1,347.06 : x
  2. Step 2: Convert to fraction form
    1,965.22/2,947.84 = 1,347.06/x
  3. Step 3: Cross multiply
    1,965.22x = 2,947.84 × 1,347.06
  4. Step 4: Simplify right side
    1,965.22x = 3,970,899.22
  5. Step 5: Solve for x
    x = 3,970,899.22/1,965.22
  6. Step 6: Final answer
    x = 2,020.58

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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.