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Finding the Fourth Proportional to 2,939.70, 4,410.27 and 965.49

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Solution

The fourth proportional to 2,939.70, 4,410.27 and 965.49 is: 1,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.70 : 4,410.27 = 965.49 : x
  2. Step 2: Convert to fraction form
    2,939.70/4,410.27 = 965.49/x
  3. Step 3: Cross multiply
    2,939.70x = 4,410.27 × 965.49
  4. Step 4: Simplify right side
    2,939.70x = 4,258,071.58
  5. Step 5: Solve for x
    x = 4,258,071.58/2,939.70
  6. Step 6: Final answer
    x = 1,448.47

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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.