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Finding the Fourth Proportional to 8,816, 13,213.20 and 5,303.84

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Solution

The fourth proportional to 8,816, 13,213.20 and 5,303.84 is: 7,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816 : 13,213.20 = 5,303.84 : x
  2. Step 2: Convert to fraction form
    8,816/13,213.20 = 5,303.84/x
  3. Step 3: Cross multiply
    8,816x = 13,213.20 × 5,303.84
  4. Step 4: Simplify right side
    8,816x = 70,080,698.69
  5. Step 5: Solve for x
    x = 70,080,698.69/8,816
  6. Step 6: Final answer
    x = 7,949.26

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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.