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Finding the Fourth Proportional to 2,822.44, 4,233.64 and 874.63

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Solution

The fourth proportional to 2,822.44, 4,233.64 and 874.63 is: 1,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.44 : 4,233.64 = 874.63 : x
  2. Step 2: Convert to fraction form
    2,822.44/4,233.64 = 874.63/x
  3. Step 3: Cross multiply
    2,822.44x = 4,233.64 × 874.63
  4. Step 4: Simplify right side
    2,822.44x = 3,702,864.18
  5. Step 5: Solve for x
    x = 3,702,864.18/2,822.44
  6. Step 6: Final answer
    x = 1,311.94

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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.