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Finding the Fourth Proportional to 1,809.14, 2,714.11 and 714.62

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Solution

The fourth proportional to 1,809.14, 2,714.11 and 714.62 is: 1,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.14 : 2,714.11 = 714.62 : x
  2. Step 2: Convert to fraction form
    1,809.14/2,714.11 = 714.62/x
  3. Step 3: Cross multiply
    1,809.14x = 2,714.11 × 714.62
  4. Step 4: Simplify right side
    1,809.14x = 1,939,562.29
  5. Step 5: Solve for x
    x = 1,939,562.29/1,809.14
  6. Step 6: Final answer
    x = 1,072.09

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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.