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Finding the Fourth Proportional to 8,964.56, 13,446.84 and 2,812.88

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Solution

The fourth proportional to 8,964.56, 13,446.84 and 2,812.88 is: 4,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.56 : 13,446.84 = 2,812.88 : x
  2. Step 2: Convert to fraction form
    8,964.56/13,446.84 = 2,812.88/x
  3. Step 3: Cross multiply
    8,964.56x = 13,446.84 × 2,812.88
  4. Step 4: Simplify right side
    8,964.56x = 37,824,347.30
  5. Step 5: Solve for x
    x = 37,824,347.30/8,964.56
  6. Step 6: Final answer
    x = 4,219.32

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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.