Home / 1,583.70-2,197.44-1,538.34

Finding the Fourth Proportional to 1,583.70, 2,197.44 and 1,538.34

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Solution

The fourth proportional to 1,583.70, 2,197.44 and 1,538.34 is: 2,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.70 : 2,197.44 = 1,538.34 : x
  2. Step 2: Convert to fraction form
    1,583.70/2,197.44 = 1,538.34/x
  3. Step 3: Cross multiply
    1,583.70x = 2,197.44 × 1,538.34
  4. Step 4: Simplify right side
    1,583.70x = 3,380,409.85
  5. Step 5: Solve for x
    x = 3,380,409.85/1,583.70
  6. Step 6: Final answer
    x = 2,134.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.