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Finding the Fourth Proportional to 3,889.44, 5,823.23 and 3,495.78

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Solution

The fourth proportional to 3,889.44, 5,823.23 and 3,495.78 is: 5,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.44 : 5,823.23 = 3,495.78 : x
  2. Step 2: Convert to fraction form
    3,889.44/5,823.23 = 3,495.78/x
  3. Step 3: Cross multiply
    3,889.44x = 5,823.23 × 3,495.78
  4. Step 4: Simplify right side
    3,889.44x = 20,356,713.49
  5. Step 5: Solve for x
    x = 20,356,713.49/3,889.44
  6. Step 6: Final answer
    x = 5,233.84

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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.