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Finding the Fourth Proportional to 2,640.70, 3,644 and 1,549.60

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Solution

The fourth proportional to 2,640.70, 3,644 and 1,549.60 is: 2,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.70 : 3,644 = 1,549.60 : x
  2. Step 2: Convert to fraction form
    2,640.70/3,644 = 1,549.60/x
  3. Step 3: Cross multiply
    2,640.70x = 3,644 × 1,549.60
  4. Step 4: Simplify right side
    2,640.70x = 5,646,742.40
  5. Step 5: Solve for x
    x = 5,646,742.40/2,640.70
  6. Step 6: Final answer
    x = 2,138.35

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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.