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Finding the Fourth Proportional to 3,158.81, 4,738.41 and 969.06

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Solution

The fourth proportional to 3,158.81, 4,738.41 and 969.06 is: 1,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.81 : 4,738.41 = 969.06 : x
  2. Step 2: Convert to fraction form
    3,158.81/4,738.41 = 969.06/x
  3. Step 3: Cross multiply
    3,158.81x = 4,738.41 × 969.06
  4. Step 4: Simplify right side
    3,158.81x = 4,591,803.59
  5. Step 5: Solve for x
    x = 4,591,803.59/3,158.81
  6. Step 6: Final answer
    x = 1,453.65

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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.