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Finding the Fourth Proportional to 5,873, 8,104.74 and 3,390.44

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Solution

The fourth proportional to 5,873, 8,104.74 and 3,390.44 is: 4,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873 : 8,104.74 = 3,390.44 : x
  2. Step 2: Convert to fraction form
    5,873/8,104.74 = 3,390.44/x
  3. Step 3: Cross multiply
    5,873x = 8,104.74 × 3,390.44
  4. Step 4: Simplify right side
    5,873x = 27,478,634.69
  5. Step 5: Solve for x
    x = 27,478,634.69/5,873
  6. Step 6: Final answer
    x = 4,678.81

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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.