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Finding the Fourth Proportional to 3,751.80, 5,627.70 and 978.57

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Solution

The fourth proportional to 3,751.80, 5,627.70 and 978.57 is: 1,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.80 : 5,627.70 = 978.57 : x
  2. Step 2: Convert to fraction form
    3,751.80/5,627.70 = 978.57/x
  3. Step 3: Cross multiply
    3,751.80x = 5,627.70 × 978.57
  4. Step 4: Simplify right side
    3,751.80x = 5,507,098.39
  5. Step 5: Solve for x
    x = 5,507,098.39/3,751.80
  6. Step 6: Final answer
    x = 1,467.86

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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.