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Finding the Fourth Proportional to 2,988.50, 4,482.94 and 936.50

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Solution

The fourth proportional to 2,988.50, 4,482.94 and 936.50 is: 1,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.50 : 4,482.94 = 936.50 : x
  2. Step 2: Convert to fraction form
    2,988.50/4,482.94 = 936.50/x
  3. Step 3: Cross multiply
    2,988.50x = 4,482.94 × 936.50
  4. Step 4: Simplify right side
    2,988.50x = 4,198,273.31
  5. Step 5: Solve for x
    x = 4,198,273.31/2,988.50
  6. Step 6: Final answer
    x = 1,404.81

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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.