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Finding the Fourth Proportional to 2,658.69, 3,987.99 and 1,099.53

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Solution

The fourth proportional to 2,658.69, 3,987.99 and 1,099.53 is: 1,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.69 : 3,987.99 = 1,099.53 : x
  2. Step 2: Convert to fraction form
    2,658.69/3,987.99 = 1,099.53/x
  3. Step 3: Cross multiply
    2,658.69x = 3,987.99 × 1,099.53
  4. Step 4: Simplify right side
    2,658.69x = 4,384,914.64
  5. Step 5: Solve for x
    x = 4,384,914.64/2,658.69
  6. Step 6: Final answer
    x = 1,649.28

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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.