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Finding the Fourth Proportional to 2,988.75, 4,483.85 and 936.75

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Solution

The fourth proportional to 2,988.75, 4,483.85 and 936.75 is: 1,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.75 : 4,483.85 = 936.75 : x
  2. Step 2: Convert to fraction form
    2,988.75/4,483.85 = 936.75/x
  3. Step 3: Cross multiply
    2,988.75x = 4,483.85 × 936.75
  4. Step 4: Simplify right side
    2,988.75x = 4,200,241.80
  5. Step 5: Solve for x
    x = 4,200,241.80/2,988.75
  6. Step 6: Final answer
    x = 1,405.35

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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.