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Finding the Fourth Proportional to 6,858.74, 9,464.60 and 3,873.99

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Solution

The fourth proportional to 6,858.74, 9,464.60 and 3,873.99 is: 5,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.74 : 9,464.60 = 3,873.99 : x
  2. Step 2: Convert to fraction form
    6,858.74/9,464.60 = 3,873.99/x
  3. Step 3: Cross multiply
    6,858.74x = 9,464.60 × 3,873.99
  4. Step 4: Simplify right side
    6,858.74x = 36,665,746.38
  5. Step 5: Solve for x
    x = 36,665,746.38/6,858.74
  6. Step 6: Final answer
    x = 5,345.85

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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.