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Finding the Fourth Proportional to 4,138.53, 6,211.90 and 2,578.93

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Solution

The fourth proportional to 4,138.53, 6,211.90 and 2,578.93 is: 3,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.53 : 6,211.90 = 2,578.93 : x
  2. Step 2: Convert to fraction form
    4,138.53/6,211.90 = 2,578.93/x
  3. Step 3: Cross multiply
    4,138.53x = 6,211.90 × 2,578.93
  4. Step 4: Simplify right side
    4,138.53x = 16,020,055.27
  5. Step 5: Solve for x
    x = 16,020,055.27/4,138.53
  6. Step 6: Final answer
    x = 3,870.95

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1.5x scale

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.