Home / 2,189.03-3,284.08-803.12

Finding the Fourth Proportional to 2,189.03, 3,284.08 and 803.12

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Solution

The fourth proportional to 2,189.03, 3,284.08 and 803.12 is: 1,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.03 : 3,284.08 = 803.12 : x
  2. Step 2: Convert to fraction form
    2,189.03/3,284.08 = 803.12/x
  3. Step 3: Cross multiply
    2,189.03x = 3,284.08 × 803.12
  4. Step 4: Simplify right side
    2,189.03x = 2,637,491.90
  5. Step 5: Solve for x
    x = 2,637,491.90/2,189.03
  6. Step 6: Final answer
    x = 1,204.87

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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.