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Finding the Fourth Proportional to 6,078.99, 9,119.70 and 1,919.64

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Solution

The fourth proportional to 6,078.99, 9,119.70 and 1,919.64 is: 2,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.99 : 9,119.70 = 1,919.64 : x
  2. Step 2: Convert to fraction form
    6,078.99/9,119.70 = 1,919.64/x
  3. Step 3: Cross multiply
    6,078.99x = 9,119.70 × 1,919.64
  4. Step 4: Simplify right side
    6,078.99x = 17,506,540.91
  5. Step 5: Solve for x
    x = 17,506,540.91/6,078.99
  6. Step 6: Final answer
    x = 2,879.84

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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.