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Finding the Fourth Proportional to 2,906.50, 4,011 and 1,580.22

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Solution

The fourth proportional to 2,906.50, 4,011 and 1,580.22 is: 2,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.50 : 4,011 = 1,580.22 : x
  2. Step 2: Convert to fraction form
    2,906.50/4,011 = 1,580.22/x
  3. Step 3: Cross multiply
    2,906.50x = 4,011 × 1,580.22
  4. Step 4: Simplify right side
    2,906.50x = 6,338,262.42
  5. Step 5: Solve for x
    x = 6,338,262.42/2,906.50
  6. Step 6: Final answer
    x = 2,180.72

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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.