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Finding the Fourth Proportional to 2,076.45, 3,114.66 and 537.45

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Solution

The fourth proportional to 2,076.45, 3,114.66 and 537.45 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.45 : 3,114.66 = 537.45 : x
  2. Step 2: Convert to fraction form
    2,076.45/3,114.66 = 537.45/x
  3. Step 3: Cross multiply
    2,076.45x = 3,114.66 × 537.45
  4. Step 4: Simplify right side
    2,076.45x = 1,673,958.44
  5. Step 5: Solve for x
    x = 1,673,958.44/2,076.45
  6. Step 6: Final answer
    x = 806.17

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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.