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Finding the Fourth Proportional to 3,965.26, 5,947.71 and 1,886.26

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Solution

The fourth proportional to 3,965.26, 5,947.71 and 1,886.26 is: 2,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.26 : 5,947.71 = 1,886.26 : x
  2. Step 2: Convert to fraction form
    3,965.26/5,947.71 = 1,886.26/x
  3. Step 3: Cross multiply
    3,965.26x = 5,947.71 × 1,886.26
  4. Step 4: Simplify right side
    3,965.26x = 11,218,927.46
  5. Step 5: Solve for x
    x = 11,218,927.46/3,965.26
  6. Step 6: Final answer
    x = 2,829.30

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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.