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Finding the Fourth Proportional to 1,883.20, 2,822.02 and 1,777.89

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Solution

The fourth proportional to 1,883.20, 2,822.02 and 1,777.89 is: 2,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.20 : 2,822.02 = 1,777.89 : x
  2. Step 2: Convert to fraction form
    1,883.20/2,822.02 = 1,777.89/x
  3. Step 3: Cross multiply
    1,883.20x = 2,822.02 × 1,777.89
  4. Step 4: Simplify right side
    1,883.20x = 5,017,239.34
  5. Step 5: Solve for x
    x = 5,017,239.34/1,883.20
  6. Step 6: Final answer
    x = 2,664.21

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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.