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Finding the Fourth Proportional to 2,154.28, 3,231.96 and 693.47

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Solution

The fourth proportional to 2,154.28, 3,231.96 and 693.47 is: 1,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.28 : 3,231.96 = 693.47 : x
  2. Step 2: Convert to fraction form
    2,154.28/3,231.96 = 693.47/x
  3. Step 3: Cross multiply
    2,154.28x = 3,231.96 × 693.47
  4. Step 4: Simplify right side
    2,154.28x = 2,241,267.30
  5. Step 5: Solve for x
    x = 2,241,267.30/2,154.28
  6. Step 6: Final answer
    x = 1,040.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.