Home / 4,032-6,046.74-1,434.78

Finding the Fourth Proportional to 4,032, 6,046.74 and 1,434.78

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Solution

The fourth proportional to 4,032, 6,046.74 and 1,434.78 is: 2,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032 : 6,046.74 = 1,434.78 : x
  2. Step 2: Convert to fraction form
    4,032/6,046.74 = 1,434.78/x
  3. Step 3: Cross multiply
    4,032x = 6,046.74 × 1,434.78
  4. Step 4: Simplify right side
    4,032x = 8,675,741.62
  5. Step 5: Solve for x
    x = 8,675,741.62/4,032
  6. Step 6: Final answer
    x = 2,151.72

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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.