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Finding the Fourth Proportional to 2,154.78, 2,974.74 and 1,450.33

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Solution

The fourth proportional to 2,154.78, 2,974.74 and 1,450.33 is: 2,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.78 : 2,974.74 = 1,450.33 : x
  2. Step 2: Convert to fraction form
    2,154.78/2,974.74 = 1,450.33/x
  3. Step 3: Cross multiply
    2,154.78x = 2,974.74 × 1,450.33
  4. Step 4: Simplify right side
    2,154.78x = 4,314,347.41
  5. Step 5: Solve for x
    x = 4,314,347.41/2,154.78
  6. Step 6: Final answer
    x = 2,002.22

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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.