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Finding the Fourth Proportional to 5,807, 8,020.26 and 3,940.76

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Solution

The fourth proportional to 5,807, 8,020.26 and 3,940.76 is: 5,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807 : 8,020.26 = 3,940.76 : x
  2. Step 2: Convert to fraction form
    5,807/8,020.26 = 3,940.76/x
  3. Step 3: Cross multiply
    5,807x = 8,020.26 × 3,940.76
  4. Step 4: Simplify right side
    5,807x = 31,605,919.80
  5. Step 5: Solve for x
    x = 31,605,919.80/5,807
  6. Step 6: Final answer
    x = 5,442.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.