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Finding the Fourth Proportional to 5,913.60, 8,872.32 and 3,605.76

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Solution

The fourth proportional to 5,913.60, 8,872.32 and 3,605.76 is: 5,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.60 : 8,872.32 = 3,605.76 : x
  2. Step 2: Convert to fraction form
    5,913.60/8,872.32 = 3,605.76/x
  3. Step 3: Cross multiply
    5,913.60x = 8,872.32 × 3,605.76
  4. Step 4: Simplify right side
    5,913.60x = 31,991,456.56
  5. Step 5: Solve for x
    x = 31,991,456.56/5,913.60
  6. Step 6: Final answer
    x = 5,409.81

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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.