Home / 1,538.26-2,122.78-839.62

Finding the Fourth Proportional to 1,538.26, 2,122.78 and 839.62

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Solution

The fourth proportional to 1,538.26, 2,122.78 and 839.62 is: 1,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.26 : 2,122.78 = 839.62 : x
  2. Step 2: Convert to fraction form
    1,538.26/2,122.78 = 839.62/x
  3. Step 3: Cross multiply
    1,538.26x = 2,122.78 × 839.62
  4. Step 4: Simplify right side
    1,538.26x = 1,782,328.54
  5. Step 5: Solve for x
    x = 1,782,328.54/1,538.26
  6. Step 6: Final answer
    x = 1,158.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.