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Finding the Fourth Proportional to 2,327.69, 3,490.62 and 940.77

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Solution

The fourth proportional to 2,327.69, 3,490.62 and 940.77 is: 1,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.69 : 3,490.62 = 940.77 : x
  2. Step 2: Convert to fraction form
    2,327.69/3,490.62 = 940.77/x
  3. Step 3: Cross multiply
    2,327.69x = 3,490.62 × 940.77
  4. Step 4: Simplify right side
    2,327.69x = 3,283,870.58
  5. Step 5: Solve for x
    x = 3,283,870.58/2,327.69
  6. Step 6: Final answer
    x = 1,410.79

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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.