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Finding the Fourth Proportional to 1,661.21, 2,491.96 and 838.95

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Solution

The fourth proportional to 1,661.21, 2,491.96 and 838.95 is: 1,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.21 : 2,491.96 = 838.95 : x
  2. Step 2: Convert to fraction form
    1,661.21/2,491.96 = 838.95/x
  3. Step 3: Cross multiply
    1,661.21x = 2,491.96 × 838.95
  4. Step 4: Simplify right side
    1,661.21x = 2,090,629.84
  5. Step 5: Solve for x
    x = 2,090,629.84/1,661.21
  6. Step 6: Final answer
    x = 1,258.50

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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.