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Finding the Fourth Proportional to 1,794, 2,475.72 and 1,173

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Solution

The fourth proportional to 1,794, 2,475.72 and 1,173 is: 1,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794 : 2,475.72 = 1,173 : x
  2. Step 2: Convert to fraction form
    1,794/2,475.72 = 1,173/x
  3. Step 3: Cross multiply
    1,794x = 2,475.72 × 1,173
  4. Step 4: Simplify right side
    1,794x = 2,904,019.56
  5. Step 5: Solve for x
    x = 2,904,019.56/1,794
  6. Step 6: Final answer
    x = 1,618.74

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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.