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Finding the Fourth Proportional to 7,545.95, 10,413.32 and 4,188.76

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Solution

The fourth proportional to 7,545.95, 10,413.32 and 4,188.76 is: 5,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.95 : 10,413.32 = 4,188.76 : x
  2. Step 2: Convert to fraction form
    7,545.95/10,413.32 = 4,188.76/x
  3. Step 3: Cross multiply
    7,545.95x = 10,413.32 × 4,188.76
  4. Step 4: Simplify right side
    7,545.95x = 43,618,825.27
  5. Step 5: Solve for x
    x = 43,618,825.27/7,545.95
  6. Step 6: Final answer
    x = 5,780.43

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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.