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Finding the Fourth Proportional to 5,171.67, 7,757.65 and 1,887.22

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Solution

The fourth proportional to 5,171.67, 7,757.65 and 1,887.22 is: 2,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.67 : 7,757.65 = 1,887.22 : x
  2. Step 2: Convert to fraction form
    5,171.67/7,757.65 = 1,887.22/x
  3. Step 3: Cross multiply
    5,171.67x = 7,757.65 × 1,887.22
  4. Step 4: Simplify right side
    5,171.67x = 14,640,392.23
  5. Step 5: Solve for x
    x = 14,640,392.23/5,171.67
  6. Step 6: Final answer
    x = 2,830.88

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1.5x scale

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.