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Finding the Fourth Proportional to 2,388.70, 3,295.74 and 1,549.44

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Solution

The fourth proportional to 2,388.70, 3,295.74 and 1,549.44 is: 2,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.70 : 3,295.74 = 1,549.44 : x
  2. Step 2: Convert to fraction form
    2,388.70/3,295.74 = 1,549.44/x
  3. Step 3: Cross multiply
    2,388.70x = 3,295.74 × 1,549.44
  4. Step 4: Simplify right side
    2,388.70x = 5,106,551.39
  5. Step 5: Solve for x
    x = 5,106,551.39/2,388.70
  6. Step 6: Final answer
    x = 2,137.80

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Why These Related Problems?

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