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Finding the Fourth Proportional to 7,545.97, 10,413.47 and 4,188.85

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Solution

The fourth proportional to 7,545.97, 10,413.47 and 4,188.85 is: 5,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.97 : 10,413.47 = 4,188.85 : x
  2. Step 2: Convert to fraction form
    7,545.97/10,413.47 = 4,188.85/x
  3. Step 3: Cross multiply
    7,545.97x = 10,413.47 × 4,188.85
  4. Step 4: Simplify right side
    7,545.97x = 43,620,463.81
  5. Step 5: Solve for x
    x = 43,620,463.81/7,545.97
  6. Step 6: Final answer
    x = 5,780.63

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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.