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Finding the Fourth Proportional to 9,413.71, 12,991.03 and 5,878.98

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Solution

The fourth proportional to 9,413.71, 12,991.03 and 5,878.98 is: 8,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.71 : 12,991.03 = 5,878.98 : x
  2. Step 2: Convert to fraction form
    9,413.71/12,991.03 = 5,878.98/x
  3. Step 3: Cross multiply
    9,413.71x = 12,991.03 × 5,878.98
  4. Step 4: Simplify right side
    9,413.71x = 76,373,990.85
  5. Step 5: Solve for x
    x = 76,373,990.85/9,413.71
  6. Step 6: Final answer
    x = 8,113.06

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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.