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Finding the Fourth Proportional to 1,986.85, 2,979.21 and 670.17

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Solution

The fourth proportional to 1,986.85, 2,979.21 and 670.17 is: 1,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.85 : 2,979.21 = 670.17 : x
  2. Step 2: Convert to fraction form
    1,986.85/2,979.21 = 670.17/x
  3. Step 3: Cross multiply
    1,986.85x = 2,979.21 × 670.17
  4. Step 4: Simplify right side
    1,986.85x = 1,996,577.17
  5. Step 5: Solve for x
    x = 1,996,577.17/1,986.85
  6. Step 6: Final answer
    x = 1,004.90

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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.