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Finding the Fourth Proportional to 2,412.77, 3,617.93 and 1,178.33

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Solution

The fourth proportional to 2,412.77, 3,617.93 and 1,178.33 is: 1,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.77 : 3,617.93 = 1,178.33 : x
  2. Step 2: Convert to fraction form
    2,412.77/3,617.93 = 1,178.33/x
  3. Step 3: Cross multiply
    2,412.77x = 3,617.93 × 1,178.33
  4. Step 4: Simplify right side
    2,412.77x = 4,263,091.48
  5. Step 5: Solve for x
    x = 4,263,091.48/2,412.77
  6. Step 6: Final answer
    x = 1,766.89

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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.