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Finding the Fourth Proportional to 8,191.60, 12,289.23 and 4,491.93

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Solution

The fourth proportional to 8,191.60, 12,289.23 and 4,491.93 is: 6,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.60 : 12,289.23 = 4,491.93 : x
  2. Step 2: Convert to fraction form
    8,191.60/12,289.23 = 4,491.93/x
  3. Step 3: Cross multiply
    8,191.60x = 12,289.23 × 4,491.93
  4. Step 4: Simplify right side
    8,191.60x = 55,202,360.91
  5. Step 5: Solve for x
    x = 55,202,360.91/8,191.60
  6. Step 6: Final answer
    x = 6,738.90

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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.