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Finding the Fourth Proportional to 2,277.38, 3,413.54 and 890.06

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Solution

The fourth proportional to 2,277.38, 3,413.54 and 890.06 is: 1,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.38 : 3,413.54 = 890.06 : x
  2. Step 2: Convert to fraction form
    2,277.38/3,413.54 = 890.06/x
  3. Step 3: Cross multiply
    2,277.38x = 3,413.54 × 890.06
  4. Step 4: Simplify right side
    2,277.38x = 3,038,240.57
  5. Step 5: Solve for x
    x = 3,038,240.57/2,277.38
  6. Step 6: Final answer
    x = 1,334.09

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1.5x scale

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.