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Finding the Fourth Proportional to 7,211.80, 10,817.34 and 4,609

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Solution

The fourth proportional to 7,211.80, 10,817.34 and 4,609 is: 6,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.80 : 10,817.34 = 4,609 : x
  2. Step 2: Convert to fraction form
    7,211.80/10,817.34 = 4,609/x
  3. Step 3: Cross multiply
    7,211.80x = 10,817.34 × 4,609
  4. Step 4: Simplify right side
    7,211.80x = 49,857,120.06
  5. Step 5: Solve for x
    x = 49,857,120.06/7,211.80
  6. Step 6: Final answer
    x = 6,913.27

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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.