Home / 4,738-7,109.56-2,306

Finding the Fourth Proportional to 4,738, 7,109.56 and 2,306

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Solution

The fourth proportional to 4,738, 7,109.56 and 2,306 is: 3,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738 : 7,109.56 = 2,306 : x
  2. Step 2: Convert to fraction form
    4,738/7,109.56 = 2,306/x
  3. Step 3: Cross multiply
    4,738x = 7,109.56 × 2,306
  4. Step 4: Simplify right side
    4,738x = 16,394,645.36
  5. Step 5: Solve for x
    x = 16,394,645.36/4,738
  6. Step 6: Final answer
    x = 3,460.25

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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.