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Finding the Fourth Proportional to 2,974.12, 4,461.48 and 1,413.86

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Solution

The fourth proportional to 2,974.12, 4,461.48 and 1,413.86 is: 2,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.12 : 4,461.48 = 1,413.86 : x
  2. Step 2: Convert to fraction form
    2,974.12/4,461.48 = 1,413.86/x
  3. Step 3: Cross multiply
    2,974.12x = 4,461.48 × 1,413.86
  4. Step 4: Simplify right side
    2,974.12x = 6,307,885.81
  5. Step 5: Solve for x
    x = 6,307,885.81/2,974.12
  6. Step 6: Final answer
    x = 2,120.93

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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.