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Finding the Fourth Proportional to 2,605.65, 3,909.11 and 756.72

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Solution

The fourth proportional to 2,605.65, 3,909.11 and 756.72 is: 1,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.65 : 3,909.11 = 756.72 : x
  2. Step 2: Convert to fraction form
    2,605.65/3,909.11 = 756.72/x
  3. Step 3: Cross multiply
    2,605.65x = 3,909.11 × 756.72
  4. Step 4: Simplify right side
    2,605.65x = 2,958,101.72
  5. Step 5: Solve for x
    x = 2,958,101.72/2,605.65
  6. Step 6: Final answer
    x = 1,135.26

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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.