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Finding the Fourth Proportional to 11,381.60, 15,706.40 and 6,413.60

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Solution

The fourth proportional to 11,381.60, 15,706.40 and 6,413.60 is: 8,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.60 : 15,706.40 = 6,413.60 : x
  2. Step 2: Convert to fraction form
    11,381.60/15,706.40 = 6,413.60/x
  3. Step 3: Cross multiply
    11,381.60x = 15,706.40 × 6,413.60
  4. Step 4: Simplify right side
    11,381.60x = 100,734,567.04
  5. Step 5: Solve for x
    x = 100,734,567.04/11,381.60
  6. Step 6: Final answer
    x = 8,850.65

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1.5x scale

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.