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Finding the Fourth Proportional to 5,586, 7,706.72 and 3,348.60

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Solution

The fourth proportional to 5,586, 7,706.72 and 3,348.60 is: 4,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 7,706.72 = 3,348.60 : x
  2. Step 2: Convert to fraction form
    5,586/7,706.72 = 3,348.60/x
  3. Step 3: Cross multiply
    5,586x = 7,706.72 × 3,348.60
  4. Step 4: Simplify right side
    5,586x = 25,806,705.85
  5. Step 5: Solve for x
    x = 25,806,705.85/5,586
  6. Step 6: Final answer
    x = 4,619.89

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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.