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Finding the Fourth Proportional to 3,919.68, 5,880 and 1,611.84

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Solution

The fourth proportional to 3,919.68, 5,880 and 1,611.84 is: 2,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.68 : 5,880 = 1,611.84 : x
  2. Step 2: Convert to fraction form
    3,919.68/5,880 = 1,611.84/x
  3. Step 3: Cross multiply
    3,919.68x = 5,880 × 1,611.84
  4. Step 4: Simplify right side
    3,919.68x = 9,477,619.20
  5. Step 5: Solve for x
    x = 9,477,619.20/3,919.68
  6. Step 6: Final answer
    x = 2,417.96

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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.