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Finding the Fourth Proportional to 6,413.84, 8,851.68 and 3,619.28

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Solution

The fourth proportional to 6,413.84, 8,851.68 and 3,619.28 is: 4,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.84 : 8,851.68 = 3,619.28 : x
  2. Step 2: Convert to fraction form
    6,413.84/8,851.68 = 3,619.28/x
  3. Step 3: Cross multiply
    6,413.84x = 8,851.68 × 3,619.28
  4. Step 4: Simplify right side
    6,413.84x = 32,036,708.39
  5. Step 5: Solve for x
    x = 32,036,708.39/6,413.84
  6. Step 6: Final answer
    x = 4,994.93

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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.