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Finding the Fourth Proportional to 10,413.92, 14,371.20 and 5,698.20

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Solution

The fourth proportional to 10,413.92, 14,371.20 and 5,698.20 is: 7,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.92 : 14,371.20 = 5,698.20 : x
  2. Step 2: Convert to fraction form
    10,413.92/14,371.20 = 5,698.20/x
  3. Step 3: Cross multiply
    10,413.92x = 14,371.20 × 5,698.20
  4. Step 4: Simplify right side
    10,413.92x = 81,889,971.84
  5. Step 5: Solve for x
    x = 81,889,971.84/10,413.92
  6. Step 6: Final answer
    x = 7,863.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.