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Finding the Fourth Proportional to 3,322.95, 4,980.87 and 1,761.97

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Solution

The fourth proportional to 3,322.95, 4,980.87 and 1,761.97 is: 2,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.95 : 4,980.87 = 1,761.97 : x
  2. Step 2: Convert to fraction form
    3,322.95/4,980.87 = 1,761.97/x
  3. Step 3: Cross multiply
    3,322.95x = 4,980.87 × 1,761.97
  4. Step 4: Simplify right side
    3,322.95x = 8,776,143.51
  5. Step 5: Solve for x
    x = 8,776,143.51/3,322.95
  6. Step 6: Final answer
    x = 2,641.07

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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.