Home / 4,199-6,299.22-1,277.60

Finding the Fourth Proportional to 4,199, 6,299.22 and 1,277.60

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Solution

The fourth proportional to 4,199, 6,299.22 and 1,277.60 is: 1,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199 : 6,299.22 = 1,277.60 : x
  2. Step 2: Convert to fraction form
    4,199/6,299.22 = 1,277.60/x
  3. Step 3: Cross multiply
    4,199x = 6,299.22 × 1,277.60
  4. Step 4: Simplify right side
    4,199x = 8,047,883.47
  5. Step 5: Solve for x
    x = 8,047,883.47/4,199
  6. Step 6: Final answer
    x = 1,916.62

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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.