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Finding the Fourth Proportional to 11,384.80, 17,077.20 and 4,808.80

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Solution

The fourth proportional to 11,384.80, 17,077.20 and 4,808.80 is: 7,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.80 : 17,077.20 = 4,808.80 : x
  2. Step 2: Convert to fraction form
    11,384.80/17,077.20 = 4,808.80/x
  3. Step 3: Cross multiply
    11,384.80x = 17,077.20 × 4,808.80
  4. Step 4: Simplify right side
    11,384.80x = 82,120,839.36
  5. Step 5: Solve for x
    x = 82,120,839.36/11,384.80
  6. Step 6: Final answer
    x = 7,213.20

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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.