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Finding the Fourth Proportional to 2,305.86, 3,458.68 and 1,072.83

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Solution

The fourth proportional to 2,305.86, 3,458.68 and 1,072.83 is: 1,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.86 : 3,458.68 = 1,072.83 : x
  2. Step 2: Convert to fraction form
    2,305.86/3,458.68 = 1,072.83/x
  3. Step 3: Cross multiply
    2,305.86x = 3,458.68 × 1,072.83
  4. Step 4: Simplify right side
    2,305.86x = 3,710,575.66
  5. Step 5: Solve for x
    x = 3,710,575.66/2,305.86
  6. Step 6: Final answer
    x = 1,609.19

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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.