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Finding the Fourth Proportional to 1,947.25, 2,921.36 and 579.25

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Solution

The fourth proportional to 1,947.25, 2,921.36 and 579.25 is: 869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.25 : 2,921.36 = 579.25 : x
  2. Step 2: Convert to fraction form
    1,947.25/2,921.36 = 579.25/x
  3. Step 3: Cross multiply
    1,947.25x = 2,921.36 × 579.25
  4. Step 4: Simplify right side
    1,947.25x = 1,692,194.88
  5. Step 5: Solve for x
    x = 1,692,194.88/1,947.25
  6. Step 6: Final answer
    x = 869.02

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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.