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Finding the Fourth Proportional to 2,906.78, 4,011.36 and 1,580.42

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Solution

The fourth proportional to 2,906.78, 4,011.36 and 1,580.42 is: 2,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.78 : 4,011.36 = 1,580.42 : x
  2. Step 2: Convert to fraction form
    2,906.78/4,011.36 = 1,580.42/x
  3. Step 3: Cross multiply
    2,906.78x = 4,011.36 × 1,580.42
  4. Step 4: Simplify right side
    2,906.78x = 6,339,633.57
  5. Step 5: Solve for x
    x = 6,339,633.57/2,906.78
  6. Step 6: Final answer
    x = 2,180.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.