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Finding the Fourth Proportional to 3,719.76, 5,576.31 and 1,412.88

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Solution

The fourth proportional to 3,719.76, 5,576.31 and 1,412.88 is: 2,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.76 : 5,576.31 = 1,412.88 : x
  2. Step 2: Convert to fraction form
    3,719.76/5,576.31 = 1,412.88/x
  3. Step 3: Cross multiply
    3,719.76x = 5,576.31 × 1,412.88
  4. Step 4: Simplify right side
    3,719.76x = 7,878,656.87
  5. Step 5: Solve for x
    x = 7,878,656.87/3,719.76
  6. Step 6: Final answer
    x = 2,118.06

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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.