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Finding the Fourth Proportional to 15,802.56, 23,707.44 and 5,413.68

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Solution

The fourth proportional to 15,802.56, 23,707.44 and 5,413.68 is: 8,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.56 : 23,707.44 = 5,413.68 : x
  2. Step 2: Convert to fraction form
    15,802.56/23,707.44 = 5,413.68/x
  3. Step 3: Cross multiply
    15,802.56x = 23,707.44 × 5,413.68
  4. Step 4: Simplify right side
    15,802.56x = 128,344,493.78
  5. Step 5: Solve for x
    x = 128,344,493.78/15,802.56
  6. Step 6: Final answer
    x = 8,121.75

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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.