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Finding the Fourth Proportional to 7,084.76, 10,624.98 and 5,694.80

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Solution

The fourth proportional to 7,084.76, 10,624.98 and 5,694.80 is: 8,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.76 : 10,624.98 = 5,694.80 : x
  2. Step 2: Convert to fraction form
    7,084.76/10,624.98 = 5,694.80/x
  3. Step 3: Cross multiply
    7,084.76x = 10,624.98 × 5,694.80
  4. Step 4: Simplify right side
    7,084.76x = 60,507,136.10
  5. Step 5: Solve for x
    x = 60,507,136.10/7,084.76
  6. Step 6: Final answer
    x = 8,540.46

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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.