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Finding the Fourth Proportional to 2,016, 2,779.20 and 1,427.88

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Solution

The fourth proportional to 2,016, 2,779.20 and 1,427.88 is: 1,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 2,779.20 = 1,427.88 : x
  2. Step 2: Convert to fraction form
    2,016/2,779.20 = 1,427.88/x
  3. Step 3: Cross multiply
    2,016x = 2,779.20 × 1,427.88
  4. Step 4: Simplify right side
    2,016x = 3,968,364.10
  5. Step 5: Solve for x
    x = 3,968,364.10/2,016
  6. Step 6: Final answer
    x = 1,968.43

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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.