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Finding the Fourth Proportional to 2,589.44, 3,883.35 and 945.68

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Solution

The fourth proportional to 2,589.44, 3,883.35 and 945.68 is: 1,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.44 : 3,883.35 = 945.68 : x
  2. Step 2: Convert to fraction form
    2,589.44/3,883.35 = 945.68/x
  3. Step 3: Cross multiply
    2,589.44x = 3,883.35 × 945.68
  4. Step 4: Simplify right side
    2,589.44x = 3,672,406.43
  5. Step 5: Solve for x
    x = 3,672,406.43/2,589.44
  6. Step 6: Final answer
    x = 1,418.22

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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.