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Finding the Fourth Proportional to 4,055, 6,083.46 and 1,319

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Solution

The fourth proportional to 4,055, 6,083.46 and 1,319 is: 1,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055 : 6,083.46 = 1,319 : x
  2. Step 2: Convert to fraction form
    4,055/6,083.46 = 1,319/x
  3. Step 3: Cross multiply
    4,055x = 6,083.46 × 1,319
  4. Step 4: Simplify right side
    4,055x = 8,024,083.74
  5. Step 5: Solve for x
    x = 8,024,083.74/4,055
  6. Step 6: Final answer
    x = 1,978.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.