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Finding the Fourth Proportional to 2,173.00, 2,998.71 and 1,178.25

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Solution

The fourth proportional to 2,173.00, 2,998.71 and 1,178.25 is: 1,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.00 : 2,998.71 = 1,178.25 : x
  2. Step 2: Convert to fraction form
    2,173.00/2,998.71 = 1,178.25/x
  3. Step 3: Cross multiply
    2,173.00x = 2,998.71 × 1,178.25
  4. Step 4: Simplify right side
    2,173.00x = 3,533,230.06
  5. Step 5: Solve for x
    x = 3,533,230.06/2,173.00
  6. Step 6: Final answer
    x = 1,625.97

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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.