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Finding the Fourth Proportional to 2,072.86, 3,107.77 and 976.61

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Solution

The fourth proportional to 2,072.86, 3,107.77 and 976.61 is: 1,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.86 : 3,107.77 = 976.61 : x
  2. Step 2: Convert to fraction form
    2,072.86/3,107.77 = 976.61/x
  3. Step 3: Cross multiply
    2,072.86x = 3,107.77 × 976.61
  4. Step 4: Simplify right side
    2,072.86x = 3,035,079.26
  5. Step 5: Solve for x
    x = 3,035,079.26/2,072.86
  6. Step 6: Final answer
    x = 1,464.20

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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.