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Finding the Fourth Proportional to 3,714.75, 5,574.87 and 1,406.25

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Solution

The fourth proportional to 3,714.75, 5,574.87 and 1,406.25 is: 2,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.75 : 5,574.87 = 1,406.25 : x
  2. Step 2: Convert to fraction form
    3,714.75/5,574.87 = 1,406.25/x
  3. Step 3: Cross multiply
    3,714.75x = 5,574.87 × 1,406.25
  4. Step 4: Simplify right side
    3,714.75x = 7,839,660.94
  5. Step 5: Solve for x
    x = 7,839,660.94/3,714.75
  6. Step 6: Final answer
    x = 2,110.41

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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.