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Finding the Fourth Proportional to 3,809.96, 5,714.36 and 1,471.07

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Solution

The fourth proportional to 3,809.96, 5,714.36 and 1,471.07 is: 2,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.96 : 5,714.36 = 1,471.07 : x
  2. Step 2: Convert to fraction form
    3,809.96/5,714.36 = 1,471.07/x
  3. Step 3: Cross multiply
    3,809.96x = 5,714.36 × 1,471.07
  4. Step 4: Simplify right side
    3,809.96x = 8,406,236.01
  5. Step 5: Solve for x
    x = 8,406,236.01/3,809.96
  6. Step 6: Final answer
    x = 2,206.39

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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.