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Finding the Fourth Proportional to 8,413.50, 11,611.03 and 4,687.50

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Solution

The fourth proportional to 8,413.50, 11,611.03 and 4,687.50 is: 6,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.50 : 11,611.03 = 4,687.50 : x
  2. Step 2: Convert to fraction form
    8,413.50/11,611.03 = 4,687.50/x
  3. Step 3: Cross multiply
    8,413.50x = 11,611.03 × 4,687.50
  4. Step 4: Simplify right side
    8,413.50x = 54,426,703.13
  5. Step 5: Solve for x
    x = 54,426,703.13/8,413.50
  6. Step 6: Final answer
    x = 6,468.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.