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Finding the Fourth Proportional to 7,413.76, 11,109.12 and 4,672

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Solution

The fourth proportional to 7,413.76, 11,109.12 and 4,672 is: 7,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.76 : 11,109.12 = 4,672 : x
  2. Step 2: Convert to fraction form
    7,413.76/11,109.12 = 4,672/x
  3. Step 3: Cross multiply
    7,413.76x = 11,109.12 × 4,672
  4. Step 4: Simplify right side
    7,413.76x = 51,901,808.64
  5. Step 5: Solve for x
    x = 51,901,808.64/7,413.76
  6. Step 6: Final answer
    x = 7,000.74

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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.