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Finding the Fourth Proportional to 2,962.82, 4,443.26 and 988.03

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Solution

The fourth proportional to 2,962.82, 4,443.26 and 988.03 is: 1,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.82 : 4,443.26 = 988.03 : x
  2. Step 2: Convert to fraction form
    2,962.82/4,443.26 = 988.03/x
  3. Step 3: Cross multiply
    2,962.82x = 4,443.26 × 988.03
  4. Step 4: Simplify right side
    2,962.82x = 4,390,051.96
  5. Step 5: Solve for x
    x = 4,390,051.96/2,962.82
  6. Step 6: Final answer
    x = 1,481.71

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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.