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Finding the Fourth Proportional to 2,376.78, 3,563.91 and 990.39

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Solution

The fourth proportional to 2,376.78, 3,563.91 and 990.39 is: 1,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.78 : 3,563.91 = 990.39 : x
  2. Step 2: Convert to fraction form
    2,376.78/3,563.91 = 990.39/x
  3. Step 3: Cross multiply
    2,376.78x = 3,563.91 × 990.39
  4. Step 4: Simplify right side
    2,376.78x = 3,529,660.82
  5. Step 5: Solve for x
    x = 3,529,660.82/2,376.78
  6. Step 6: Final answer
    x = 1,485.06

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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.