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Finding the Fourth Proportional to 1,589.12, 2,193.36 and 968

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Solution

The fourth proportional to 1,589.12, 2,193.36 and 968 is: 1,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.12 : 2,193.36 = 968 : x
  2. Step 2: Convert to fraction form
    1,589.12/2,193.36 = 968/x
  3. Step 3: Cross multiply
    1,589.12x = 2,193.36 × 968
  4. Step 4: Simplify right side
    1,589.12x = 2,123,172.48
  5. Step 5: Solve for x
    x = 2,123,172.48/1,589.12
  6. Step 6: Final answer
    x = 1,336.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.