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Finding the Fourth Proportional to 2,662.60, 3,992.10 and 1,413.40

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Solution

The fourth proportional to 2,662.60, 3,992.10 and 1,413.40 is: 2,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.60 : 3,992.10 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    2,662.60/3,992.10 = 1,413.40/x
  3. Step 3: Cross multiply
    2,662.60x = 3,992.10 × 1,413.40
  4. Step 4: Simplify right side
    2,662.60x = 5,642,434.14
  5. Step 5: Solve for x
    x = 5,642,434.14/2,662.60
  6. Step 6: Final answer
    x = 2,119.14

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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.