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Finding the Fourth Proportional to 2,016, 2,782.32 and 1,318.92

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Solution

The fourth proportional to 2,016, 2,782.32 and 1,318.92 is: 1,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 2,782.32 = 1,318.92 : x
  2. Step 2: Convert to fraction form
    2,016/2,782.32 = 1,318.92/x
  3. Step 3: Cross multiply
    2,016x = 2,782.32 × 1,318.92
  4. Step 4: Simplify right side
    2,016x = 3,669,657.49
  5. Step 5: Solve for x
    x = 3,669,657.49/2,016
  6. Step 6: Final answer
    x = 1,820.27

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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.