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Finding the Fourth Proportional to 3,409.48, 4,705.14 and 1,993.22

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Solution

The fourth proportional to 3,409.48, 4,705.14 and 1,993.22 is: 2,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.48 : 4,705.14 = 1,993.22 : x
  2. Step 2: Convert to fraction form
    3,409.48/4,705.14 = 1,993.22/x
  3. Step 3: Cross multiply
    3,409.48x = 4,705.14 × 1,993.22
  4. Step 4: Simplify right side
    3,409.48x = 9,378,356.30
  5. Step 5: Solve for x
    x = 9,378,356.30/3,409.48
  6. Step 6: Final answer
    x = 2,750.67

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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.