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Finding the Fourth Proportional to 3,146.27, 4,719.40 and 1,845

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Solution

The fourth proportional to 3,146.27, 4,719.40 and 1,845 is: 2,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.27 : 4,719.40 = 1,845 : x
  2. Step 2: Convert to fraction form
    3,146.27/4,719.40 = 1,845/x
  3. Step 3: Cross multiply
    3,146.27x = 4,719.40 × 1,845
  4. Step 4: Simplify right side
    3,146.27x = 8,707,288.39
  5. Step 5: Solve for x
    x = 8,707,288.39/3,146.27
  6. Step 6: Final answer
    x = 2,767.50

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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.