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Finding the Fourth Proportional to 2,278.64, 3,413.84 and 1,047.08

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Solution

The fourth proportional to 2,278.64, 3,413.84 and 1,047.08 is: 1,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.64 : 3,413.84 = 1,047.08 : x
  2. Step 2: Convert to fraction form
    2,278.64/3,413.84 = 1,047.08/x
  3. Step 3: Cross multiply
    2,278.64x = 3,413.84 × 1,047.08
  4. Step 4: Simplify right side
    2,278.64x = 3,574,563.59
  5. Step 5: Solve for x
    x = 3,574,563.59/2,278.64
  6. Step 6: Final answer
    x = 1,568.73

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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.