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Finding the Fourth Proportional to 9,720.41, 13,413.80 and 5,942.16

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Solution

The fourth proportional to 9,720.41, 13,413.80 and 5,942.16 is: 8,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.41 : 13,413.80 = 5,942.16 : x
  2. Step 2: Convert to fraction form
    9,720.41/13,413.80 = 5,942.16/x
  3. Step 3: Cross multiply
    9,720.41x = 13,413.80 × 5,942.16
  4. Step 4: Simplify right side
    9,720.41x = 79,706,960.66
  5. Step 5: Solve for x
    x = 79,706,960.66/9,720.41
  6. Step 6: Final answer
    x = 8,199.96

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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.