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Finding the Fourth Proportional to 9,120.42, 13,680.54 and 2,964.42

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Solution

The fourth proportional to 9,120.42, 13,680.54 and 2,964.42 is: 4,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.42 : 13,680.54 = 2,964.42 : x
  2. Step 2: Convert to fraction form
    9,120.42/13,680.54 = 2,964.42/x
  3. Step 3: Cross multiply
    9,120.42x = 13,680.54 × 2,964.42
  4. Step 4: Simplify right side
    9,120.42x = 40,554,866.39
  5. Step 5: Solve for x
    x = 40,554,866.39/9,120.42
  6. Step 6: Final answer
    x = 4,446.60

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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.