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Finding the Fourth Proportional to 3,287.44, 4,929.88 and 1,413.16

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Solution

The fourth proportional to 3,287.44, 4,929.88 and 1,413.16 is: 2,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.44 : 4,929.88 = 1,413.16 : x
  2. Step 2: Convert to fraction form
    3,287.44/4,929.88 = 1,413.16/x
  3. Step 3: Cross multiply
    3,287.44x = 4,929.88 × 1,413.16
  4. Step 4: Simplify right side
    3,287.44x = 6,966,709.22
  5. Step 5: Solve for x
    x = 6,966,709.22/3,287.44
  6. Step 6: Final answer
    x = 2,119.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.