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Finding the Fourth Proportional to 2,822.50, 3,894.50 and 1,827.64

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Solution

The fourth proportional to 2,822.50, 3,894.50 and 1,827.64 is: 2,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.50 : 3,894.50 = 1,827.64 : x
  2. Step 2: Convert to fraction form
    2,822.50/3,894.50 = 1,827.64/x
  3. Step 3: Cross multiply
    2,822.50x = 3,894.50 × 1,827.64
  4. Step 4: Simplify right side
    2,822.50x = 7,117,743.98
  5. Step 5: Solve for x
    x = 7,117,743.98/2,822.50
  6. Step 6: Final answer
    x = 2,521.79

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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.