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Finding the Fourth Proportional to 2,874.69, 4,312.04 and 1,413.48

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Solution

The fourth proportional to 2,874.69, 4,312.04 and 1,413.48 is: 2,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.69 : 4,312.04 = 1,413.48 : x
  2. Step 2: Convert to fraction form
    2,874.69/4,312.04 = 1,413.48/x
  3. Step 3: Cross multiply
    2,874.69x = 4,312.04 × 1,413.48
  4. Step 4: Simplify right side
    2,874.69x = 6,094,991.40
  5. Step 5: Solve for x
    x = 6,094,991.40/2,874.69
  6. Step 6: Final answer
    x = 2,120.23

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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.