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Finding the Fourth Proportional to 3,320.77, 4,978.23 and 1,761.87

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Solution

The fourth proportional to 3,320.77, 4,978.23 and 1,761.87 is: 2,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.77 : 4,978.23 = 1,761.87 : x
  2. Step 2: Convert to fraction form
    3,320.77/4,978.23 = 1,761.87/x
  3. Step 3: Cross multiply
    3,320.77x = 4,978.23 × 1,761.87
  4. Step 4: Simplify right side
    3,320.77x = 8,770,994.09
  5. Step 5: Solve for x
    x = 8,770,994.09/3,320.77
  6. Step 6: Final answer
    x = 2,641.25

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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.