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Finding the Fourth Proportional to 2,052.30, 3,072.24 and 1,322.40

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Solution

The fourth proportional to 2,052.30, 3,072.24 and 1,322.40 is: 1,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.30 : 3,072.24 = 1,322.40 : x
  2. Step 2: Convert to fraction form
    2,052.30/3,072.24 = 1,322.40/x
  3. Step 3: Cross multiply
    2,052.30x = 3,072.24 × 1,322.40
  4. Step 4: Simplify right side
    2,052.30x = 4,062,730.18
  5. Step 5: Solve for x
    x = 4,062,730.18/2,052.30
  6. Step 6: Final answer
    x = 1,979.60

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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.