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Finding the Fourth Proportional to 7,105.40, 10,650.90 and 4,182.20

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Solution

The fourth proportional to 7,105.40, 10,650.90 and 4,182.20 is: 6,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.40 : 10,650.90 = 4,182.20 : x
  2. Step 2: Convert to fraction form
    7,105.40/10,650.90 = 4,182.20/x
  3. Step 3: Cross multiply
    7,105.40x = 10,650.90 × 4,182.20
  4. Step 4: Simplify right side
    7,105.40x = 44,544,193.98
  5. Step 5: Solve for x
    x = 44,544,193.98/7,105.40
  6. Step 6: Final answer
    x = 6,269.06

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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.