Home / 5,311-7,962.78-2,498.20

Finding the Fourth Proportional to 5,311, 7,962.78 and 2,498.20

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Solution

The fourth proportional to 5,311, 7,962.78 and 2,498.20 is: 3,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311 : 7,962.78 = 2,498.20 : x
  2. Step 2: Convert to fraction form
    5,311/7,962.78 = 2,498.20/x
  3. Step 3: Cross multiply
    5,311x = 7,962.78 × 2,498.20
  4. Step 4: Simplify right side
    5,311x = 19,892,617.00
  5. Step 5: Solve for x
    x = 19,892,617.00/5,311
  6. Step 6: Final answer
    x = 3,745.55

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