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Finding the Fourth Proportional to 5,561.62, 8,338.08 and 2,786.86

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Solution

The fourth proportional to 5,561.62, 8,338.08 and 2,786.86 is: 4,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.62 : 8,338.08 = 2,786.86 : x
  2. Step 2: Convert to fraction form
    5,561.62/8,338.08 = 2,786.86/x
  3. Step 3: Cross multiply
    5,561.62x = 8,338.08 × 2,786.86
  4. Step 4: Simplify right side
    5,561.62x = 23,237,061.63
  5. Step 5: Solve for x
    x = 23,237,061.63/5,561.62
  6. Step 6: Final answer
    x = 4,178.11

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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.