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Finding the Fourth Proportional to 7,165.05, 10,744.05 and 4,209.25

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Solution

The fourth proportional to 7,165.05, 10,744.05 and 4,209.25 is: 6,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.05 : 10,744.05 = 4,209.25 : x
  2. Step 2: Convert to fraction form
    7,165.05/10,744.05 = 4,209.25/x
  3. Step 3: Cross multiply
    7,165.05x = 10,744.05 × 4,209.25
  4. Step 4: Simplify right side
    7,165.05x = 45,224,392.46
  5. Step 5: Solve for x
    x = 45,224,392.46/7,165.05
  6. Step 6: Final answer
    x = 6,311.80

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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.