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Finding the Fourth Proportional to 2,072.74, 3,110.46 and 977.41

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Solution

The fourth proportional to 2,072.74, 3,110.46 and 977.41 is: 1,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.74 : 3,110.46 = 977.41 : x
  2. Step 2: Convert to fraction form
    2,072.74/3,110.46 = 977.41/x
  3. Step 3: Cross multiply
    2,072.74x = 3,110.46 × 977.41
  4. Step 4: Simplify right side
    2,072.74x = 3,040,194.71
  5. Step 5: Solve for x
    x = 3,040,194.71/2,072.74
  6. Step 6: Final answer
    x = 1,466.75

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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.