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Finding the Fourth Proportional to 3,134.58, 4,704 and 1,674.78

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Solution

The fourth proportional to 3,134.58, 4,704 and 1,674.78 is: 2,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.58 : 4,704 = 1,674.78 : x
  2. Step 2: Convert to fraction form
    3,134.58/4,704 = 1,674.78/x
  3. Step 3: Cross multiply
    3,134.58x = 4,704 × 1,674.78
  4. Step 4: Simplify right side
    3,134.58x = 7,878,165.12
  5. Step 5: Solve for x
    x = 7,878,165.12/3,134.58
  6. Step 6: Final answer
    x = 2,513.31

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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.