Home / 4,738.70-7,106.82-1,966.16

Finding the Fourth Proportional to 4,738.70, 7,106.82 and 1,966.16

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Solution

The fourth proportional to 4,738.70, 7,106.82 and 1,966.16 is: 2,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.70 : 7,106.82 = 1,966.16 : x
  2. Step 2: Convert to fraction form
    4,738.70/7,106.82 = 1,966.16/x
  3. Step 3: Cross multiply
    4,738.70x = 7,106.82 × 1,966.16
  4. Step 4: Simplify right side
    4,738.70x = 13,973,145.21
  5. Step 5: Solve for x
    x = 13,973,145.21/4,738.70
  6. Step 6: Final answer
    x = 2,948.73

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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.