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Finding the Fourth Proportional to 2,388.43, 3,578.10 and 1,865.98

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Solution

The fourth proportional to 2,388.43, 3,578.10 and 1,865.98 is: 2,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.43 : 3,578.10 = 1,865.98 : x
  2. Step 2: Convert to fraction form
    2,388.43/3,578.10 = 1,865.98/x
  3. Step 3: Cross multiply
    2,388.43x = 3,578.10 × 1,865.98
  4. Step 4: Simplify right side
    2,388.43x = 6,676,663.04
  5. Step 5: Solve for x
    x = 6,676,663.04/2,388.43
  6. Step 6: Final answer
    x = 2,795.42

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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.