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Finding the Fourth Proportional to 25,413.12, 38,126.16 and 7,883.10

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Solution

The fourth proportional to 25,413.12, 38,126.16 and 7,883.10 is: 11,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.12 : 38,126.16 = 7,883.10 : x
  2. Step 2: Convert to fraction form
    25,413.12/38,126.16 = 7,883.10/x
  3. Step 3: Cross multiply
    25,413.12x = 38,126.16 × 7,883.10
  4. Step 4: Simplify right side
    25,413.12x = 300,552,331.90
  5. Step 5: Solve for x
    x = 300,552,331.90/25,413.12
  6. Step 6: Final answer
    x = 11,826.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.