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Finding the Fourth Proportional to 1,982.49, 2,971.86 and 750.70

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Solution

The fourth proportional to 1,982.49, 2,971.86 and 750.70 is: 1,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.49 : 2,971.86 = 750.70 : x
  2. Step 2: Convert to fraction form
    1,982.49/2,971.86 = 750.70/x
  3. Step 3: Cross multiply
    1,982.49x = 2,971.86 × 750.70
  4. Step 4: Simplify right side
    1,982.49x = 2,230,975.30
  5. Step 5: Solve for x
    x = 2,230,975.30/1,982.49
  6. Step 6: Final answer
    x = 1,125.34

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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.