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Finding the Fourth Proportional to 3,180.66, 4,765.86 and 1,720.50

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Solution

The fourth proportional to 3,180.66, 4,765.86 and 1,720.50 is: 2,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.66 : 4,765.86 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    3,180.66/4,765.86 = 1,720.50/x
  3. Step 3: Cross multiply
    3,180.66x = 4,765.86 × 1,720.50
  4. Step 4: Simplify right side
    3,180.66x = 8,199,662.13
  5. Step 5: Solve for x
    x = 8,199,662.13/3,180.66
  6. Step 6: Final answer
    x = 2,577.98

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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.