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Finding the Fourth Proportional to 2,387.64, 3,581.47 and 1,636.42

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Solution

The fourth proportional to 2,387.64, 3,581.47 and 1,636.42 is: 2,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.64 : 3,581.47 = 1,636.42 : x
  2. Step 2: Convert to fraction form
    2,387.64/3,581.47 = 1,636.42/x
  3. Step 3: Cross multiply
    2,387.64x = 3,581.47 × 1,636.42
  4. Step 4: Simplify right side
    2,387.64x = 5,860,764.63
  5. Step 5: Solve for x
    x = 5,860,764.63/2,387.64
  6. Step 6: Final answer
    x = 2,454.62

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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.