Home / 3,309-4,965.84-1,577.76

Finding the Fourth Proportional to 3,309, 4,965.84 and 1,577.76

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Solution

The fourth proportional to 3,309, 4,965.84 and 1,577.76 is: 2,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309 : 4,965.84 = 1,577.76 : x
  2. Step 2: Convert to fraction form
    3,309/4,965.84 = 1,577.76/x
  3. Step 3: Cross multiply
    3,309x = 4,965.84 × 1,577.76
  4. Step 4: Simplify right side
    3,309x = 7,834,903.72
  5. Step 5: Solve for x
    x = 7,834,903.72/3,309
  6. Step 6: Final answer
    x = 2,367.76

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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.