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Finding the Fourth Proportional to 7,208, 10,812.36 and 6,829.28

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Solution

The fourth proportional to 7,208, 10,812.36 and 6,829.28 is: 10,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208 : 10,812.36 = 6,829.28 : x
  2. Step 2: Convert to fraction form
    7,208/10,812.36 = 6,829.28/x
  3. Step 3: Cross multiply
    7,208x = 10,812.36 × 6,829.28
  4. Step 4: Simplify right side
    7,208x = 73,840,633.90
  5. Step 5: Solve for x
    x = 73,840,633.90/7,208
  6. Step 6: Final answer
    x = 10,244.26

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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.