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Finding the Fourth Proportional to 1,986.70, 2,980.59 and 945.85

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Solution

The fourth proportional to 1,986.70, 2,980.59 and 945.85 is: 1,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.70 : 2,980.59 = 945.85 : x
  2. Step 2: Convert to fraction form
    1,986.70/2,980.59 = 945.85/x
  3. Step 3: Cross multiply
    1,986.70x = 2,980.59 × 945.85
  4. Step 4: Simplify right side
    1,986.70x = 2,819,191.05
  5. Step 5: Solve for x
    x = 2,819,191.05/1,986.70
  6. Step 6: Final answer
    x = 1,419.03

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1.5x scale

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.