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Finding the Fourth Proportional to 8,964.78, 13,451.04 and 3,419.79

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Solution

The fourth proportional to 8,964.78, 13,451.04 and 3,419.79 is: 5,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.78 : 13,451.04 = 3,419.79 : x
  2. Step 2: Convert to fraction form
    8,964.78/13,451.04 = 3,419.79/x
  3. Step 3: Cross multiply
    8,964.78x = 13,451.04 × 3,419.79
  4. Step 4: Simplify right side
    8,964.78x = 45,999,732.08
  5. Step 5: Solve for x
    x = 45,999,732.08/8,964.78
  6. Step 6: Final answer
    x = 5,131.16

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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.