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Finding the Fourth Proportional to 2,971.53, 4,455.92 and 1,328.09

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Solution

The fourth proportional to 2,971.53, 4,455.92 and 1,328.09 is: 1,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.53 : 4,455.92 = 1,328.09 : x
  2. Step 2: Convert to fraction form
    2,971.53/4,455.92 = 1,328.09/x
  3. Step 3: Cross multiply
    2,971.53x = 4,455.92 × 1,328.09
  4. Step 4: Simplify right side
    2,971.53x = 5,917,833.87
  5. Step 5: Solve for x
    x = 5,917,833.87/2,971.53
  6. Step 6: Final answer
    x = 1,991.51

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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.