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Finding the Fourth Proportional to 1,714.12, 2,572.79 and 892.98

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Solution

The fourth proportional to 1,714.12, 2,572.79 and 892.98 is: 1,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.12 : 2,572.79 = 892.98 : x
  2. Step 2: Convert to fraction form
    1,714.12/2,572.79 = 892.98/x
  3. Step 3: Cross multiply
    1,714.12x = 2,572.79 × 892.98
  4. Step 4: Simplify right side
    1,714.12x = 2,297,450.01
  5. Step 5: Solve for x
    x = 2,297,450.01/1,714.12
  6. Step 6: Final answer
    x = 1,340.31

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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.