Home / 4,198-6,295.32-1,275.76

Finding the Fourth Proportional to 4,198, 6,295.32 and 1,275.76

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Solution

The fourth proportional to 4,198, 6,295.32 and 1,275.76 is: 1,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198 : 6,295.32 = 1,275.76 : x
  2. Step 2: Convert to fraction form
    4,198/6,295.32 = 1,275.76/x
  3. Step 3: Cross multiply
    4,198x = 6,295.32 × 1,275.76
  4. Step 4: Simplify right side
    4,198x = 8,031,317.44
  5. Step 5: Solve for x
    x = 8,031,317.44/4,198
  6. Step 6: Final answer
    x = 1,913.13

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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.