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Finding the Fourth Proportional to 2,714.70, 4,071.63 and 1,072.38

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Solution

The fourth proportional to 2,714.70, 4,071.63 and 1,072.38 is: 1,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.70 : 4,071.63 = 1,072.38 : x
  2. Step 2: Convert to fraction form
    2,714.70/4,071.63 = 1,072.38/x
  3. Step 3: Cross multiply
    2,714.70x = 4,071.63 × 1,072.38
  4. Step 4: Simplify right side
    2,714.70x = 4,366,334.58
  5. Step 5: Solve for x
    x = 4,366,334.58/2,714.70
  6. Step 6: Final answer
    x = 1,608.40

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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.