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Finding the Fourth Proportional to 7,112.60, 10,672.10 and 3,413.40

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Solution

The fourth proportional to 7,112.60, 10,672.10 and 3,413.40 is: 5,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.60 : 10,672.10 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    7,112.60/10,672.10 = 3,413.40/x
  3. Step 3: Cross multiply
    7,112.60x = 10,672.10 × 3,413.40
  4. Step 4: Simplify right side
    7,112.60x = 36,428,146.14
  5. Step 5: Solve for x
    x = 36,428,146.14/7,112.60
  6. Step 6: Final answer
    x = 5,121.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.