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Finding the Fourth Proportional to 2,822.72, 4,235.09 and 1,505.09

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Solution

The fourth proportional to 2,822.72, 4,235.09 and 1,505.09 is: 2,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.72 : 4,235.09 = 1,505.09 : x
  2. Step 2: Convert to fraction form
    2,822.72/4,235.09 = 1,505.09/x
  3. Step 3: Cross multiply
    2,822.72x = 4,235.09 × 1,505.09
  4. Step 4: Simplify right side
    2,822.72x = 6,374,162.91
  5. Step 5: Solve for x
    x = 6,374,162.91/2,822.72
  6. Step 6: Final answer
    x = 2,258.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.