Home / 4,097.86-6,147.84-1,176.38

Finding the Fourth Proportional to 4,097.86, 6,147.84 and 1,176.38

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Solution

The fourth proportional to 4,097.86, 6,147.84 and 1,176.38 is: 1,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.86 : 6,147.84 = 1,176.38 : x
  2. Step 2: Convert to fraction form
    4,097.86/6,147.84 = 1,176.38/x
  3. Step 3: Cross multiply
    4,097.86x = 6,147.84 × 1,176.38
  4. Step 4: Simplify right side
    4,097.86x = 7,232,196.02
  5. Step 5: Solve for x
    x = 7,232,196.02/4,097.86
  6. Step 6: Final answer
    x = 1,764.87

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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.