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Finding the Fourth Proportional to 2,161.89, 3,239.80 and 989.01

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Solution

The fourth proportional to 2,161.89, 3,239.80 and 989.01 is: 1,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.89 : 3,239.80 = 989.01 : x
  2. Step 2: Convert to fraction form
    2,161.89/3,239.80 = 989.01/x
  3. Step 3: Cross multiply
    2,161.89x = 3,239.80 × 989.01
  4. Step 4: Simplify right side
    2,161.89x = 3,204,192.13
  5. Step 5: Solve for x
    x = 3,204,192.13/2,161.89
  6. Step 6: Final answer
    x = 1,482.13

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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.