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Finding the Fourth Proportional to 3,885.81, 5,828.63 and 1,694.49

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Solution

The fourth proportional to 3,885.81, 5,828.63 and 1,694.49 is: 2,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.81 : 5,828.63 = 1,694.49 : x
  2. Step 2: Convert to fraction form
    3,885.81/5,828.63 = 1,694.49/x
  3. Step 3: Cross multiply
    3,885.81x = 5,828.63 × 1,694.49
  4. Step 4: Simplify right side
    3,885.81x = 9,876,546.78
  5. Step 5: Solve for x
    x = 9,876,546.78/3,885.81
  6. Step 6: Final answer
    x = 2,541.70

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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.