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Finding the Fourth Proportional to 2,839.56, 3,915.02 and 1,829.50

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Solution

The fourth proportional to 2,839.56, 3,915.02 and 1,829.50 is: 2,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.56 : 3,915.02 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    2,839.56/3,915.02 = 1,829.50/x
  3. Step 3: Cross multiply
    2,839.56x = 3,915.02 × 1,829.50
  4. Step 4: Simplify right side
    2,839.56x = 7,162,529.09
  5. Step 5: Solve for x
    x = 7,162,529.09/2,839.56
  6. Step 6: Final answer
    x = 2,522.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.