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Finding the Fourth Proportional to 5,309.74, 7,965.89 and 1,611.75

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Solution

The fourth proportional to 5,309.74, 7,965.89 and 1,611.75 is: 2,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.74 : 7,965.89 = 1,611.75 : x
  2. Step 2: Convert to fraction form
    5,309.74/7,965.89 = 1,611.75/x
  3. Step 3: Cross multiply
    5,309.74x = 7,965.89 × 1,611.75
  4. Step 4: Simplify right side
    5,309.74x = 12,839,023.21
  5. Step 5: Solve for x
    x = 12,839,023.21/5,309.74
  6. Step 6: Final answer
    x = 2,418.01

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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.