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Finding the Fourth Proportional to 2,097, 2,894.04 and 1,165.68

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Solution

The fourth proportional to 2,097, 2,894.04 and 1,165.68 is: 1,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 2,894.04 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    2,097/2,894.04 = 1,165.68/x
  3. Step 3: Cross multiply
    2,097x = 2,894.04 × 1,165.68
  4. Step 4: Simplify right side
    2,097x = 3,373,524.55
  5. Step 5: Solve for x
    x = 3,373,524.55/2,097
  6. Step 6: Final answer
    x = 1,608.74

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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.