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Finding the Fourth Proportional to 13,657.41, 20,461.77 and 7,413.45

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Solution

The fourth proportional to 13,657.41, 20,461.77 and 7,413.45 is: 11,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.41 : 20,461.77 = 7,413.45 : x
  2. Step 2: Convert to fraction form
    13,657.41/20,461.77 = 7,413.45/x
  3. Step 3: Cross multiply
    13,657.41x = 20,461.77 × 7,413.45
  4. Step 4: Simplify right side
    13,657.41x = 151,692,308.81
  5. Step 5: Solve for x
    x = 151,692,308.81/13,657.41
  6. Step 6: Final answer
    x = 11,106.96

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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.