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Finding the Fourth Proportional to 2,388.05, 3,584.05 and 1,218.92

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Solution

The fourth proportional to 2,388.05, 3,584.05 and 1,218.92 is: 1,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.05 : 3,584.05 = 1,218.92 : x
  2. Step 2: Convert to fraction form
    2,388.05/3,584.05 = 1,218.92/x
  3. Step 3: Cross multiply
    2,388.05x = 3,584.05 × 1,218.92
  4. Step 4: Simplify right side
    2,388.05x = 4,368,649.26
  5. Step 5: Solve for x
    x = 4,368,649.26/2,388.05
  6. Step 6: Final answer
    x = 1,829.38

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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.