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Finding the Fourth Proportional to 7,728.50, 11,593.64 and 2,461.65

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Solution

The fourth proportional to 7,728.50, 11,593.64 and 2,461.65 is: 3,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.50 : 11,593.64 = 2,461.65 : x
  2. Step 2: Convert to fraction form
    7,728.50/11,593.64 = 2,461.65/x
  3. Step 3: Cross multiply
    7,728.50x = 11,593.64 × 2,461.65
  4. Step 4: Simplify right side
    7,728.50x = 28,539,471.60
  5. Step 5: Solve for x
    x = 28,539,471.60/7,728.50
  6. Step 6: Final answer
    x = 3,692.76

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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.