Home / 2,075.73-3,112.66-842.70

Finding the Fourth Proportional to 2,075.73, 3,112.66 and 842.70

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Solution

The fourth proportional to 2,075.73, 3,112.66 and 842.70 is: 1,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.73 : 3,112.66 = 842.70 : x
  2. Step 2: Convert to fraction form
    2,075.73/3,112.66 = 842.70/x
  3. Step 3: Cross multiply
    2,075.73x = 3,112.66 × 842.70
  4. Step 4: Simplify right side
    2,075.73x = 2,623,038.58
  5. Step 5: Solve for x
    x = 2,623,038.58/2,075.73
  6. Step 6: Final answer
    x = 1,263.67

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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.