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Finding the Fourth Proportional to 6,491.90, 9,738.78 and 2,048.05

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Solution

The fourth proportional to 6,491.90, 9,738.78 and 2,048.05 is: 3,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.90 : 9,738.78 = 2,048.05 : x
  2. Step 2: Convert to fraction form
    6,491.90/9,738.78 = 2,048.05/x
  3. Step 3: Cross multiply
    6,491.90x = 9,738.78 × 2,048.05
  4. Step 4: Simplify right side
    6,491.90x = 19,945,503.26
  5. Step 5: Solve for x
    x = 19,945,503.26/6,491.90
  6. Step 6: Final answer
    x = 3,072.37

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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.