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Finding the Fourth Proportional to 12,774.08, 19,162.08 and 3,413.90

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Solution

The fourth proportional to 12,774.08, 19,162.08 and 3,413.90 is: 5,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.08 : 19,162.08 = 3,413.90 : x
  2. Step 2: Convert to fraction form
    12,774.08/19,162.08 = 3,413.90/x
  3. Step 3: Cross multiply
    12,774.08x = 19,162.08 × 3,413.90
  4. Step 4: Simplify right side
    12,774.08x = 65,417,472.82
  5. Step 5: Solve for x
    x = 65,417,472.82/12,774.08
  6. Step 6: Final answer
    x = 5,121.11

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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.