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Finding the Fourth Proportional to 8,049.30, 12,069.90 and 4,763.40

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Solution

The fourth proportional to 8,049.30, 12,069.90 and 4,763.40 is: 7,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.30 : 12,069.90 = 4,763.40 : x
  2. Step 2: Convert to fraction form
    8,049.30/12,069.90 = 4,763.40/x
  3. Step 3: Cross multiply
    8,049.30x = 12,069.90 × 4,763.40
  4. Step 4: Simplify right side
    8,049.30x = 57,493,761.66
  5. Step 5: Solve for x
    x = 57,493,761.66/8,049.30
  6. Step 6: Final answer
    x = 7,142.70

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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.