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Finding the Fourth Proportional to 1,971.68, 2,955.79 and 738.75

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Solution

The fourth proportional to 1,971.68, 2,955.79 and 738.75 is: 1,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.68 : 2,955.79 = 738.75 : x
  2. Step 2: Convert to fraction form
    1,971.68/2,955.79 = 738.75/x
  3. Step 3: Cross multiply
    1,971.68x = 2,955.79 × 738.75
  4. Step 4: Simplify right side
    1,971.68x = 2,183,601.87
  5. Step 5: Solve for x
    x = 2,183,601.87/1,971.68
  6. Step 6: Final answer
    x = 1,107.49

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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.