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Finding the Fourth Proportional to 2,353.97, 3,247.62 and 1,409.79

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Solution

The fourth proportional to 2,353.97, 3,247.62 and 1,409.79 is: 1,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.97 : 3,247.62 = 1,409.79 : x
  2. Step 2: Convert to fraction form
    2,353.97/3,247.62 = 1,409.79/x
  3. Step 3: Cross multiply
    2,353.97x = 3,247.62 × 1,409.79
  4. Step 4: Simplify right side
    2,353.97x = 4,578,462.20
  5. Step 5: Solve for x
    x = 4,578,462.20/2,353.97
  6. Step 6: Final answer
    x = 1,945.00

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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.