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Finding the Fourth Proportional to 1,635.36, 2,454.86 and 813.41

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Solution

The fourth proportional to 1,635.36, 2,454.86 and 813.41 is: 1,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.36 : 2,454.86 = 813.41 : x
  2. Step 2: Convert to fraction form
    1,635.36/2,454.86 = 813.41/x
  3. Step 3: Cross multiply
    1,635.36x = 2,454.86 × 813.41
  4. Step 4: Simplify right side
    1,635.36x = 1,996,802.06
  5. Step 5: Solve for x
    x = 1,996,802.06/1,635.36
  6. Step 6: Final answer
    x = 1,221.02

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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.