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Finding the Fourth Proportional to 9,768.87, 13,477.32 and 6,413.49

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Solution

The fourth proportional to 9,768.87, 13,477.32 and 6,413.49 is: 8,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.87 : 13,477.32 = 6,413.49 : x
  2. Step 2: Convert to fraction form
    9,768.87/13,477.32 = 6,413.49/x
  3. Step 3: Cross multiply
    9,768.87x = 13,477.32 × 6,413.49
  4. Step 4: Simplify right side
    9,768.87x = 86,436,657.05
  5. Step 5: Solve for x
    x = 86,436,657.05/9,768.87
  6. Step 6: Final answer
    x = 8,848.17

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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.