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Finding the Fourth Proportional to 5,436.62, 8,153 and 2,586.76

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Solution

The fourth proportional to 5,436.62, 8,153 and 2,586.76 is: 3,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.62 : 8,153 = 2,586.76 : x
  2. Step 2: Convert to fraction form
    5,436.62/8,153 = 2,586.76/x
  3. Step 3: Cross multiply
    5,436.62x = 8,153 × 2,586.76
  4. Step 4: Simplify right side
    5,436.62x = 21,089,854.28
  5. Step 5: Solve for x
    x = 21,089,854.28/5,436.62
  6. Step 6: Final answer
    x = 3,879.22

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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.