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Finding the Fourth Proportional to 2,203, 3,312.06 and 2,020.84

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Solution

The fourth proportional to 2,203, 3,312.06 and 2,020.84 is: 3,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203 : 3,312.06 = 2,020.84 : x
  2. Step 2: Convert to fraction form
    2,203/3,312.06 = 2,020.84/x
  3. Step 3: Cross multiply
    2,203x = 3,312.06 × 2,020.84
  4. Step 4: Simplify right side
    2,203x = 6,693,143.33
  5. Step 5: Solve for x
    x = 6,693,143.33/2,203
  6. Step 6: Final answer
    x = 3,038.19

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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.