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Finding the Fourth Proportional to 1,413.48, 1,949.58 and 1,391.88

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Solution

The fourth proportional to 1,413.48, 1,949.58 and 1,391.88 is: 1,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.48 : 1,949.58 = 1,391.88 : x
  2. Step 2: Convert to fraction form
    1,413.48/1,949.58 = 1,391.88/x
  3. Step 3: Cross multiply
    1,413.48x = 1,949.58 × 1,391.88
  4. Step 4: Simplify right side
    1,413.48x = 2,713,581.41
  5. Step 5: Solve for x
    x = 2,713,581.41/1,413.48
  6. Step 6: Final answer
    x = 1,919.79

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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.