Home / 1,427.23-2,135.62-842.50

Finding the Fourth Proportional to 1,427.23, 2,135.62 and 842.50

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Solution

The fourth proportional to 1,427.23, 2,135.62 and 842.50 is: 1,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.23 : 2,135.62 = 842.50 : x
  2. Step 2: Convert to fraction form
    1,427.23/2,135.62 = 842.50/x
  3. Step 3: Cross multiply
    1,427.23x = 2,135.62 × 842.50
  4. Step 4: Simplify right side
    1,427.23x = 1,799,259.85
  5. Step 5: Solve for x
    x = 1,799,259.85/1,427.23
  6. Step 6: Final answer
    x = 1,260.67

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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.