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Finding the Fourth Proportional to 8,964.80, 13,448.42 and 3,120.65

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Solution

The fourth proportional to 8,964.80, 13,448.42 and 3,120.65 is: 4,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.80 : 13,448.42 = 3,120.65 : x
  2. Step 2: Convert to fraction form
    8,964.80/13,448.42 = 3,120.65/x
  3. Step 3: Cross multiply
    8,964.80x = 13,448.42 × 3,120.65
  4. Step 4: Simplify right side
    8,964.80x = 41,967,729.03
  5. Step 5: Solve for x
    x = 41,967,729.03/8,964.80
  6. Step 6: Final answer
    x = 4,681.39

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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.