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Finding the Fourth Proportional to 2,275, 3,407.54 and 1,394.83

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Solution

The fourth proportional to 2,275, 3,407.54 and 1,394.83 is: 2,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275 : 3,407.54 = 1,394.83 : x
  2. Step 2: Convert to fraction form
    2,275/3,407.54 = 1,394.83/x
  3. Step 3: Cross multiply
    2,275x = 3,407.54 × 1,394.83
  4. Step 4: Simplify right side
    2,275x = 4,752,939.02
  5. Step 5: Solve for x
    x = 4,752,939.02/2,275
  6. Step 6: Final answer
    x = 2,089.20

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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.