Home / 2,558.78-3,828.44-1,582.46

Finding the Fourth Proportional to 2,558.78, 3,828.44 and 1,582.46

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Solution

The fourth proportional to 2,558.78, 3,828.44 and 1,582.46 is: 2,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.78 : 3,828.44 = 1,582.46 : x
  2. Step 2: Convert to fraction form
    2,558.78/3,828.44 = 1,582.46/x
  3. Step 3: Cross multiply
    2,558.78x = 3,828.44 × 1,582.46
  4. Step 4: Simplify right side
    2,558.78x = 6,058,353.16
  5. Step 5: Solve for x
    x = 6,058,353.16/2,558.78
  6. Step 6: Final answer
    x = 2,367.67

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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.