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Finding the Fourth Proportional to 5,209.88, 7,187.08 and 3,551

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Solution

The fourth proportional to 5,209.88, 7,187.08 and 3,551 is: 4,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.88 : 7,187.08 = 3,551 : x
  2. Step 2: Convert to fraction form
    5,209.88/7,187.08 = 3,551/x
  3. Step 3: Cross multiply
    5,209.88x = 7,187.08 × 3,551
  4. Step 4: Simplify right side
    5,209.88x = 25,521,321.08
  5. Step 5: Solve for x
    x = 25,521,321.08/5,209.88
  6. Step 6: Final answer
    x = 4,898.64

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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.