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Finding the Fourth Proportional to 3,135.66, 4,704.12 and 1,576.68

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Solution

The fourth proportional to 3,135.66, 4,704.12 and 1,576.68 is: 2,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.66 : 4,704.12 = 1,576.68 : x
  2. Step 2: Convert to fraction form
    3,135.66/4,704.12 = 1,576.68/x
  3. Step 3: Cross multiply
    3,135.66x = 4,704.12 × 1,576.68
  4. Step 4: Simplify right side
    3,135.66x = 7,416,891.92
  5. Step 5: Solve for x
    x = 7,416,891.92/3,135.66
  6. Step 6: Final answer
    x = 2,365.34

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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.