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Finding the Fourth Proportional to 2,874.60, 4,311.90 and 1,413.45

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Solution

The fourth proportional to 2,874.60, 4,311.90 and 1,413.45 is: 2,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.60 : 4,311.90 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    2,874.60/4,311.90 = 1,413.45/x
  3. Step 3: Cross multiply
    2,874.60x = 4,311.90 × 1,413.45
  4. Step 4: Simplify right side
    2,874.60x = 6,094,655.06
  5. Step 5: Solve for x
    x = 6,094,655.06/2,874.60
  6. Step 6: Final answer
    x = 2,120.18

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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.