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Finding the Fourth Proportional to 1,969.73, 2,958.70 and 1,662.18

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Solution

The fourth proportional to 1,969.73, 2,958.70 and 1,662.18 is: 2,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.73 : 2,958.70 = 1,662.18 : x
  2. Step 2: Convert to fraction form
    1,969.73/2,958.70 = 1,662.18/x
  3. Step 3: Cross multiply
    1,969.73x = 2,958.70 × 1,662.18
  4. Step 4: Simplify right side
    1,969.73x = 4,917,887.81
  5. Step 5: Solve for x
    x = 4,917,887.81/1,969.73
  6. Step 6: Final answer
    x = 2,496.73

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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.