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Finding the Fourth Proportional to 2,052.72, 3,078.48 and 803.10

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Solution

The fourth proportional to 2,052.72, 3,078.48 and 803.10 is: 1,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.72 : 3,078.48 = 803.10 : x
  2. Step 2: Convert to fraction form
    2,052.72/3,078.48 = 803.10/x
  3. Step 3: Cross multiply
    2,052.72x = 3,078.48 × 803.10
  4. Step 4: Simplify right side
    2,052.72x = 2,472,327.29
  5. Step 5: Solve for x
    x = 2,472,327.29/2,052.72
  6. Step 6: Final answer
    x = 1,204.42

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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.