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Finding the Fourth Proportional to 2,714.85, 4,065.80 and 1,671.98

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Solution

The fourth proportional to 2,714.85, 4,065.80 and 1,671.98 is: 2,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.85 : 4,065.80 = 1,671.98 : x
  2. Step 2: Convert to fraction form
    2,714.85/4,065.80 = 1,671.98/x
  3. Step 3: Cross multiply
    2,714.85x = 4,065.80 × 1,671.98
  4. Step 4: Simplify right side
    2,714.85x = 6,797,907.60
  5. Step 5: Solve for x
    x = 6,797,907.60/2,714.85
  6. Step 6: Final answer
    x = 2,503.97

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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.