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Finding the Fourth Proportional to 1,958.39, 2,933.90 and 970.05

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Solution

The fourth proportional to 1,958.39, 2,933.90 and 970.05 is: 1,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.39 : 2,933.90 = 970.05 : x
  2. Step 2: Convert to fraction form
    1,958.39/2,933.90 = 970.05/x
  3. Step 3: Cross multiply
    1,958.39x = 2,933.90 × 970.05
  4. Step 4: Simplify right side
    1,958.39x = 2,846,024.84
  5. Step 5: Solve for x
    x = 2,846,024.84/1,958.39
  6. Step 6: Final answer
    x = 1,453.25

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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.