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Finding the Fourth Proportional to 2,684.34, 4,021.50 and 1,585.44

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Solution

The fourth proportional to 2,684.34, 4,021.50 and 1,585.44 is: 2,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.34 : 4,021.50 = 1,585.44 : x
  2. Step 2: Convert to fraction form
    2,684.34/4,021.50 = 1,585.44/x
  3. Step 3: Cross multiply
    2,684.34x = 4,021.50 × 1,585.44
  4. Step 4: Simplify right side
    2,684.34x = 6,375,846.96
  5. Step 5: Solve for x
    x = 6,375,846.96/2,684.34
  6. Step 6: Final answer
    x = 2,375.20

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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.