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Finding the Fourth Proportional to 3,992.78, 5,509.78 and 2,314.06

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Solution

The fourth proportional to 3,992.78, 5,509.78 and 2,314.06 is: 3,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.78 : 5,509.78 = 2,314.06 : x
  2. Step 2: Convert to fraction form
    3,992.78/5,509.78 = 2,314.06/x
  3. Step 3: Cross multiply
    3,992.78x = 5,509.78 × 2,314.06
  4. Step 4: Simplify right side
    3,992.78x = 12,749,961.51
  5. Step 5: Solve for x
    x = 12,749,961.51/3,992.78
  6. Step 6: Final answer
    x = 3,193.25

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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.