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Finding the Fourth Proportional to 9,304.47, 13,942.13 and 7,912.08

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Solution

The fourth proportional to 9,304.47, 13,942.13 and 7,912.08 is: 11,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.47 : 13,942.13 = 7,912.08 : x
  2. Step 2: Convert to fraction form
    9,304.47/13,942.13 = 7,912.08/x
  3. Step 3: Cross multiply
    9,304.47x = 13,942.13 × 7,912.08
  4. Step 4: Simplify right side
    9,304.47x = 110,311,208.37
  5. Step 5: Solve for x
    x = 110,311,208.37/9,304.47
  6. Step 6: Final answer
    x = 11,855.72

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1.5x scale

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.