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Finding the Fourth Proportional to 3,847.63, 5,771.45 and 1,539.13

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Solution

The fourth proportional to 3,847.63, 5,771.45 and 1,539.13 is: 2,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.63 : 5,771.45 = 1,539.13 : x
  2. Step 2: Convert to fraction form
    3,847.63/5,771.45 = 1,539.13/x
  3. Step 3: Cross multiply
    3,847.63x = 5,771.45 × 1,539.13
  4. Step 4: Simplify right side
    3,847.63x = 8,883,011.84
  5. Step 5: Solve for x
    x = 8,883,011.84/3,847.63
  6. Step 6: Final answer
    x = 2,308.70

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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.