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Finding the Fourth Proportional to 8,563.28, 11,809.96 and 5,578

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Solution

The fourth proportional to 8,563.28, 11,809.96 and 5,578 is: 7,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.28 : 11,809.96 = 5,578 : x
  2. Step 2: Convert to fraction form
    8,563.28/11,809.96 = 5,578/x
  3. Step 3: Cross multiply
    8,563.28x = 11,809.96 × 5,578
  4. Step 4: Simplify right side
    8,563.28x = 65,875,956.88
  5. Step 5: Solve for x
    x = 65,875,956.88/8,563.28
  6. Step 6: Final answer
    x = 7,692.84

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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.