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Finding the Fourth Proportional to 3,007.82, 4,151.21 and 1,828.64

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Solution

The fourth proportional to 3,007.82, 4,151.21 and 1,828.64 is: 2,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.82 : 4,151.21 = 1,828.64 : x
  2. Step 2: Convert to fraction form
    3,007.82/4,151.21 = 1,828.64/x
  3. Step 3: Cross multiply
    3,007.82x = 4,151.21 × 1,828.64
  4. Step 4: Simplify right side
    3,007.82x = 7,591,038.76
  5. Step 5: Solve for x
    x = 7,591,038.76/3,007.82
  6. Step 6: Final answer
    x = 2,523.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.