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Finding the Fourth Proportional to 2,162.07, 2,982.83 and 1,365.17

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Solution

The fourth proportional to 2,162.07, 2,982.83 and 1,365.17 is: 1,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.07 : 2,982.83 = 1,365.17 : x
  2. Step 2: Convert to fraction form
    2,162.07/2,982.83 = 1,365.17/x
  3. Step 3: Cross multiply
    2,162.07x = 2,982.83 × 1,365.17
  4. Step 4: Simplify right side
    2,162.07x = 4,072,048.29
  5. Step 5: Solve for x
    x = 4,072,048.29/2,162.07
  6. Step 6: Final answer
    x = 1,883.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.