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Finding the Fourth Proportional to 7,811.12, 11,706.75 and 5,624.12

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Solution

The fourth proportional to 7,811.12, 11,706.75 and 5,624.12 is: 8,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.12 : 11,706.75 = 5,624.12 : x
  2. Step 2: Convert to fraction form
    7,811.12/11,706.75 = 5,624.12/x
  3. Step 3: Cross multiply
    7,811.12x = 11,706.75 × 5,624.12
  4. Step 4: Simplify right side
    7,811.12x = 65,840,108.28
  5. Step 5: Solve for x
    x = 65,840,108.28/7,811.12
  6. Step 6: Final answer
    x = 8,429.03

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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.