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Finding the Fourth Proportional to 5,697, 8,539.09 and 4,305.83

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Solution

The fourth proportional to 5,697, 8,539.09 and 4,305.83 is: 6,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 8,539.09 = 4,305.83 : x
  2. Step 2: Convert to fraction form
    5,697/8,539.09 = 4,305.83/x
  3. Step 3: Cross multiply
    5,697x = 8,539.09 × 4,305.83
  4. Step 4: Simplify right side
    5,697x = 36,767,816.43
  5. Step 5: Solve for x
    x = 36,767,816.43/5,697
  6. Step 6: Final answer
    x = 6,453.89

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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.