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Finding the Fourth Proportional to 2,936.49, 4,405.19 and 988.54

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Solution

The fourth proportional to 2,936.49, 4,405.19 and 988.54 is: 1,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.49 : 4,405.19 = 988.54 : x
  2. Step 2: Convert to fraction form
    2,936.49/4,405.19 = 988.54/x
  3. Step 3: Cross multiply
    2,936.49x = 4,405.19 × 988.54
  4. Step 4: Simplify right side
    2,936.49x = 4,354,704.05
  5. Step 5: Solve for x
    x = 4,354,704.05/2,936.49
  6. Step 6: Final answer
    x = 1,482.96

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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.