Home / 3,222-4,823.82-2,123.01

Finding the Fourth Proportional to 3,222, 4,823.82 and 2,123.01

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Solution

The fourth proportional to 3,222, 4,823.82 and 2,123.01 is: 3,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 4,823.82 = 2,123.01 : x
  2. Step 2: Convert to fraction form
    3,222/4,823.82 = 2,123.01/x
  3. Step 3: Cross multiply
    3,222x = 4,823.82 × 2,123.01
  4. Step 4: Simplify right side
    3,222x = 10,241,018.10
  5. Step 5: Solve for x
    x = 10,241,018.10/3,222
  6. Step 6: Final answer
    x = 3,178.47

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