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Finding the Fourth Proportional to 7,206, 10,809.36 and 6,827.28

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Solution

The fourth proportional to 7,206, 10,809.36 and 6,827.28 is: 10,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 10,809.36 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    7,206/10,809.36 = 6,827.28/x
  3. Step 3: Cross multiply
    7,206x = 10,809.36 × 6,827.28
  4. Step 4: Simplify right side
    7,206x = 73,798,527.34
  5. Step 5: Solve for x
    x = 73,798,527.34/7,206
  6. Step 6: Final answer
    x = 10,241.26

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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.