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Finding the Fourth Proportional to 3,005.82, 4,508.60 and 814.41

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Solution

The fourth proportional to 3,005.82, 4,508.60 and 814.41 is: 1,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.82 : 4,508.60 = 814.41 : x
  2. Step 2: Convert to fraction form
    3,005.82/4,508.60 = 814.41/x
  3. Step 3: Cross multiply
    3,005.82x = 4,508.60 × 814.41
  4. Step 4: Simplify right side
    3,005.82x = 3,671,844.85
  5. Step 5: Solve for x
    x = 3,671,844.85/3,005.82
  6. Step 6: Final answer
    x = 1,221.58

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1.5x scale

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.