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Finding the Fourth Proportional to 9,192.80, 13,796.16 and 6,734.01

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Solution

The fourth proportional to 9,192.80, 13,796.16 and 6,734.01 is: 10,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.80 : 13,796.16 = 6,734.01 : x
  2. Step 2: Convert to fraction form
    9,192.80/13,796.16 = 6,734.01/x
  3. Step 3: Cross multiply
    9,192.80x = 13,796.16 × 6,734.01
  4. Step 4: Simplify right side
    9,192.80x = 92,903,479.40
  5. Step 5: Solve for x
    x = 92,903,479.40/9,192.80
  6. Step 6: Final answer
    x = 10,106.11

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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.