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Finding the Fourth Proportional to 2,836.76, 3,905.02 and 2,461.54

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Solution

The fourth proportional to 2,836.76, 3,905.02 and 2,461.54 is: 3,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.76 : 3,905.02 = 2,461.54 : x
  2. Step 2: Convert to fraction form
    2,836.76/3,905.02 = 2,461.54/x
  3. Step 3: Cross multiply
    2,836.76x = 3,905.02 × 2,461.54
  4. Step 4: Simplify right side
    2,836.76x = 9,612,362.93
  5. Step 5: Solve for x
    x = 9,612,362.93/2,836.76
  6. Step 6: Final answer
    x = 3,388.50

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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.