Home / 2,102.22-3,151.98-803.70

Finding the Fourth Proportional to 2,102.22, 3,151.98 and 803.70

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Solution

The fourth proportional to 2,102.22, 3,151.98 and 803.70 is: 1,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.22 : 3,151.98 = 803.70 : x
  2. Step 2: Convert to fraction form
    2,102.22/3,151.98 = 803.70/x
  3. Step 3: Cross multiply
    2,102.22x = 3,151.98 × 803.70
  4. Step 4: Simplify right side
    2,102.22x = 2,533,246.33
  5. Step 5: Solve for x
    x = 2,533,246.33/2,102.22
  6. Step 6: Final answer
    x = 1,205.03

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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.