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Finding the Fourth Proportional to 8,049.70, 12,106.95 and 7,207.30

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Solution

The fourth proportional to 8,049.70, 12,106.95 and 7,207.30 is: 10,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.70 : 12,106.95 = 7,207.30 : x
  2. Step 2: Convert to fraction form
    8,049.70/12,106.95 = 7,207.30/x
  3. Step 3: Cross multiply
    8,049.70x = 12,106.95 × 7,207.30
  4. Step 4: Simplify right side
    8,049.70x = 87,258,420.74
  5. Step 5: Solve for x
    x = 87,258,420.74/8,049.70
  6. Step 6: Final answer
    x = 10,839.96

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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.