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Finding the Fourth Proportional to 3,663.66, 5,495.38 and 2,098.81

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Solution

The fourth proportional to 3,663.66, 5,495.38 and 2,098.81 is: 3,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.66 : 5,495.38 = 2,098.81 : x
  2. Step 2: Convert to fraction form
    3,663.66/5,495.38 = 2,098.81/x
  3. Step 3: Cross multiply
    3,663.66x = 5,495.38 × 2,098.81
  4. Step 4: Simplify right side
    3,663.66x = 11,533,760.12
  5. Step 5: Solve for x
    x = 11,533,760.12/3,663.66
  6. Step 6: Final answer
    x = 3,148.15

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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.