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Finding the Fourth Proportional to 2,663.10, 3,674.80 and 1,640.89

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Solution

The fourth proportional to 2,663.10, 3,674.80 and 1,640.89 is: 2,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.10 : 3,674.80 = 1,640.89 : x
  2. Step 2: Convert to fraction form
    2,663.10/3,674.80 = 1,640.89/x
  3. Step 3: Cross multiply
    2,663.10x = 3,674.80 × 1,640.89
  4. Step 4: Simplify right side
    2,663.10x = 6,029,942.57
  5. Step 5: Solve for x
    x = 6,029,942.57/2,663.10
  6. Step 6: Final answer
    x = 2,264.26

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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.