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Finding the Fourth Proportional to 2,872.92, 4,310.41 and 1,413.10

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Solution

The fourth proportional to 2,872.92, 4,310.41 and 1,413.10 is: 2,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.92 : 4,310.41 = 1,413.10 : x
  2. Step 2: Convert to fraction form
    2,872.92/4,310.41 = 1,413.10/x
  3. Step 3: Cross multiply
    2,872.92x = 4,310.41 × 1,413.10
  4. Step 4: Simplify right side
    2,872.92x = 6,091,047.53
  5. Step 5: Solve for x
    x = 6,091,047.53/2,872.92
  6. Step 6: Final answer
    x = 2,120.16

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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.