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Finding the Fourth Proportional to 2,248.05, 3,102.72 and 1,409.48

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Solution

The fourth proportional to 2,248.05, 3,102.72 and 1,409.48 is: 1,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.05 : 3,102.72 = 1,409.48 : x
  2. Step 2: Convert to fraction form
    2,248.05/3,102.72 = 1,409.48/x
  3. Step 3: Cross multiply
    2,248.05x = 3,102.72 × 1,409.48
  4. Step 4: Simplify right side
    2,248.05x = 4,373,200.99
  5. Step 5: Solve for x
    x = 4,373,200.99/2,248.05
  6. Step 6: Final answer
    x = 1,945.33

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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.