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Finding the Fourth Proportional to 2,097, 3,157.73 and 1,553.04

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Solution

The fourth proportional to 2,097, 3,157.73 and 1,553.04 is: 2,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 3,157.73 = 1,553.04 : x
  2. Step 2: Convert to fraction form
    2,097/3,157.73 = 1,553.04/x
  3. Step 3: Cross multiply
    2,097x = 3,157.73 × 1,553.04
  4. Step 4: Simplify right side
    2,097x = 4,904,081.00
  5. Step 5: Solve for x
    x = 4,904,081.00/2,097
  6. Step 6: Final answer
    x = 2,338.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.