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Finding the Fourth Proportional to 1,920.64, 2,647.81 and 1,623.12

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Solution

The fourth proportional to 1,920.64, 2,647.81 and 1,623.12 is: 2,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.64 : 2,647.81 = 1,623.12 : x
  2. Step 2: Convert to fraction form
    1,920.64/2,647.81 = 1,623.12/x
  3. Step 3: Cross multiply
    1,920.64x = 2,647.81 × 1,623.12
  4. Step 4: Simplify right side
    1,920.64x = 4,297,713.37
  5. Step 5: Solve for x
    x = 4,297,713.37/1,920.64
  6. Step 6: Final answer
    x = 2,237.65

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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.