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Finding the Fourth Proportional to 3,891.07, 5,836.39 and 1,258.53

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Solution

The fourth proportional to 3,891.07, 5,836.39 and 1,258.53 is: 1,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.07 : 5,836.39 = 1,258.53 : x
  2. Step 2: Convert to fraction form
    3,891.07/5,836.39 = 1,258.53/x
  3. Step 3: Cross multiply
    3,891.07x = 5,836.39 × 1,258.53
  4. Step 4: Simplify right side
    3,891.07x = 7,345,271.91
  5. Step 5: Solve for x
    x = 7,345,271.91/3,891.07
  6. Step 6: Final answer
    x = 1,887.73

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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.