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Finding the Fourth Proportional to 7,280.78, 10,902.64 and 4,811.90

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Solution

The fourth proportional to 7,280.78, 10,902.64 and 4,811.90 is: 7,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.78 : 10,902.64 = 4,811.90 : x
  2. Step 2: Convert to fraction form
    7,280.78/10,902.64 = 4,811.90/x
  3. Step 3: Cross multiply
    7,280.78x = 10,902.64 × 4,811.90
  4. Step 4: Simplify right side
    7,280.78x = 52,462,413.42
  5. Step 5: Solve for x
    x = 52,462,413.42/7,280.78
  6. Step 6: Final answer
    x = 7,205.60

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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.