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Finding the Fourth Proportional to 5,488.04, 7,571.58 and 3,809

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Solution

The fourth proportional to 5,488.04, 7,571.58 and 3,809 is: 5,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.04 : 7,571.58 = 3,809 : x
  2. Step 2: Convert to fraction form
    5,488.04/7,571.58 = 3,809/x
  3. Step 3: Cross multiply
    5,488.04x = 7,571.58 × 3,809
  4. Step 4: Simplify right side
    5,488.04x = 28,840,148.22
  5. Step 5: Solve for x
    x = 28,840,148.22/5,488.04
  6. Step 6: Final answer
    x = 5,255.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.