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Finding the Fourth Proportional to 1,918.79, 2,642.44 and 1,728.11

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Solution

The fourth proportional to 1,918.79, 2,642.44 and 1,728.11 is: 2,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.79 : 2,642.44 = 1,728.11 : x
  2. Step 2: Convert to fraction form
    1,918.79/2,642.44 = 1,728.11/x
  3. Step 3: Cross multiply
    1,918.79x = 2,642.44 × 1,728.11
  4. Step 4: Simplify right side
    1,918.79x = 4,566,413.78
  5. Step 5: Solve for x
    x = 4,566,413.78/1,918.79
  6. Step 6: Final answer
    x = 2,379.85

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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.