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Finding the Fourth Proportional to 20,993.36, 31,491.48 and 7,845.44

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Solution

The fourth proportional to 20,993.36, 31,491.48 and 7,845.44 is: 11,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.36 : 31,491.48 = 7,845.44 : x
  2. Step 2: Convert to fraction form
    20,993.36/31,491.48 = 7,845.44/x
  3. Step 3: Cross multiply
    20,993.36x = 31,491.48 × 7,845.44
  4. Step 4: Simplify right side
    20,993.36x = 247,064,516.85
  5. Step 5: Solve for x
    x = 247,064,516.85/20,993.36
  6. Step 6: Final answer
    x = 11,768.70

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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.