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Finding the Fourth Proportional to 4,000.80, 6,000.50 and 1,078.42

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Solution

The fourth proportional to 4,000.80, 6,000.50 and 1,078.42 is: 1,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.80 : 6,000.50 = 1,078.42 : x
  2. Step 2: Convert to fraction form
    4,000.80/6,000.50 = 1,078.42/x
  3. Step 3: Cross multiply
    4,000.80x = 6,000.50 × 1,078.42
  4. Step 4: Simplify right side
    4,000.80x = 6,471,059.21
  5. Step 5: Solve for x
    x = 6,471,059.21/4,000.80
  6. Step 6: Final answer
    x = 1,617.44

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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.