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Finding the Fourth Proportional to 8,824.68, 13,234.14 and 2,980.20

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Solution

The fourth proportional to 8,824.68, 13,234.14 and 2,980.20 is: 4,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.68 : 13,234.14 = 2,980.20 : x
  2. Step 2: Convert to fraction form
    8,824.68/13,234.14 = 2,980.20/x
  3. Step 3: Cross multiply
    8,824.68x = 13,234.14 × 2,980.20
  4. Step 4: Simplify right side
    8,824.68x = 39,440,384.03
  5. Step 5: Solve for x
    x = 39,440,384.03/8,824.68
  6. Step 6: Final answer
    x = 4,469.33

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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.