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Finding the Fourth Proportional to 5,100, 7,645.44 and 2,905.56

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Solution

The fourth proportional to 5,100, 7,645.44 and 2,905.56 is: 4,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,645.44 = 2,905.56 : x
  2. Step 2: Convert to fraction form
    5,100/7,645.44 = 2,905.56/x
  3. Step 3: Cross multiply
    5,100x = 7,645.44 × 2,905.56
  4. Step 4: Simplify right side
    5,100x = 22,214,284.65
  5. Step 5: Solve for x
    x = 22,214,284.65/5,100
  6. Step 6: Final answer
    x = 4,355.74

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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.