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Finding the Fourth Proportional to 3,271, 4,514 and 1,873.84

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Solution

The fourth proportional to 3,271, 4,514 and 1,873.84 is: 2,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271 : 4,514 = 1,873.84 : x
  2. Step 2: Convert to fraction form
    3,271/4,514 = 1,873.84/x
  3. Step 3: Cross multiply
    3,271x = 4,514 × 1,873.84
  4. Step 4: Simplify right side
    3,271x = 8,458,513.76
  5. Step 5: Solve for x
    x = 8,458,513.76/3,271
  6. Step 6: Final answer
    x = 2,585.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.