Home / 2,098.70-3,143.26-1,003.84

Finding the Fourth Proportional to 2,098.70, 3,143.26 and 1,003.84

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Solution

The fourth proportional to 2,098.70, 3,143.26 and 1,003.84 is: 1,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.70 : 3,143.26 = 1,003.84 : x
  2. Step 2: Convert to fraction form
    2,098.70/3,143.26 = 1,003.84/x
  3. Step 3: Cross multiply
    2,098.70x = 3,143.26 × 1,003.84
  4. Step 4: Simplify right side
    2,098.70x = 3,155,322.26
  5. Step 5: Solve for x
    x = 3,155,322.26/2,098.70
  6. Step 6: Final answer
    x = 1,503.47

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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.