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Finding the Fourth Proportional to 2,153.79, 3,232.26 and 855.63

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Solution

The fourth proportional to 2,153.79, 3,232.26 and 855.63 is: 1,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.79 : 3,232.26 = 855.63 : x
  2. Step 2: Convert to fraction form
    2,153.79/3,232.26 = 855.63/x
  3. Step 3: Cross multiply
    2,153.79x = 3,232.26 × 855.63
  4. Step 4: Simplify right side
    2,153.79x = 2,765,618.62
  5. Step 5: Solve for x
    x = 2,765,618.62/2,153.79
  6. Step 6: Final answer
    x = 1,284.07

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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.