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Finding the Fourth Proportional to 2,373.50, 3,275.44 and 1,589.42

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Solution

The fourth proportional to 2,373.50, 3,275.44 and 1,589.42 is: 2,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.50 : 3,275.44 = 1,589.42 : x
  2. Step 2: Convert to fraction form
    2,373.50/3,275.44 = 1,589.42/x
  3. Step 3: Cross multiply
    2,373.50x = 3,275.44 × 1,589.42
  4. Step 4: Simplify right side
    2,373.50x = 5,206,049.84
  5. Step 5: Solve for x
    x = 5,206,049.84/2,373.50
  6. Step 6: Final answer
    x = 2,193.41

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