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Finding the Fourth Proportional to 3,078.87, 4,611.78 and 1,614.99

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Solution

The fourth proportional to 3,078.87, 4,611.78 and 1,614.99 is: 2,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.87 : 4,611.78 = 1,614.99 : x
  2. Step 2: Convert to fraction form
    3,078.87/4,611.78 = 1,614.99/x
  3. Step 3: Cross multiply
    3,078.87x = 4,611.78 × 1,614.99
  4. Step 4: Simplify right side
    3,078.87x = 7,447,978.58
  5. Step 5: Solve for x
    x = 7,447,978.58/3,078.87
  6. Step 6: Final answer
    x = 2,419.06

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1.5x scale

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.