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Finding the Fourth Proportional to 2,052.50, 2,832.46 and 1,121

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Solution

The fourth proportional to 2,052.50, 2,832.46 and 1,121 is: 1,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.50 : 2,832.46 = 1,121 : x
  2. Step 2: Convert to fraction form
    2,052.50/2,832.46 = 1,121/x
  3. Step 3: Cross multiply
    2,052.50x = 2,832.46 × 1,121
  4. Step 4: Simplify right side
    2,052.50x = 3,175,187.66
  5. Step 5: Solve for x
    x = 3,175,187.66/2,052.50
  6. Step 6: Final answer
    x = 1,546.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.