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Finding the Fourth Proportional to 4,615, 6,925.38 and 1,879

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Solution

The fourth proportional to 4,615, 6,925.38 and 1,879 is: 2,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615 : 6,925.38 = 1,879 : x
  2. Step 2: Convert to fraction form
    4,615/6,925.38 = 1,879/x
  3. Step 3: Cross multiply
    4,615x = 6,925.38 × 1,879
  4. Step 4: Simplify right side
    4,615x = 13,012,789.02
  5. Step 5: Solve for x
    x = 13,012,789.02/4,615
  6. Step 6: Final answer
    x = 2,819.67

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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.