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Finding the Fourth Proportional to 7,586.38, 11,380.60 and 7,125.06

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Solution

The fourth proportional to 7,586.38, 11,380.60 and 7,125.06 is: 10,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.38 : 11,380.60 = 7,125.06 : x
  2. Step 2: Convert to fraction form
    7,586.38/11,380.60 = 7,125.06/x
  3. Step 3: Cross multiply
    7,586.38x = 11,380.60 × 7,125.06
  4. Step 4: Simplify right side
    7,586.38x = 81,087,413.40
  5. Step 5: Solve for x
    x = 81,087,413.40/7,586.38
  6. Step 6: Final answer
    x = 10,688.56

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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.