Home / 5,163-7,743.60-1,464.72

Finding the Fourth Proportional to 5,163, 7,743.60 and 1,464.72

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Solution

The fourth proportional to 5,163, 7,743.60 and 1,464.72 is: 2,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163 : 7,743.60 = 1,464.72 : x
  2. Step 2: Convert to fraction form
    5,163/7,743.60 = 1,464.72/x
  3. Step 3: Cross multiply
    5,163x = 7,743.60 × 1,464.72
  4. Step 4: Simplify right side
    5,163x = 11,342,205.79
  5. Step 5: Solve for x
    x = 11,342,205.79/5,163
  6. Step 6: Final answer
    x = 2,196.82

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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.