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Finding the Fourth Proportional to 5,765, 7,956.24 and 3,281

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Solution

The fourth proportional to 5,765, 7,956.24 and 3,281 is: 4,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765 : 7,956.24 = 3,281 : x
  2. Step 2: Convert to fraction form
    5,765/7,956.24 = 3,281/x
  3. Step 3: Cross multiply
    5,765x = 7,956.24 × 3,281
  4. Step 4: Simplify right side
    5,765x = 26,104,423.44
  5. Step 5: Solve for x
    x = 26,104,423.44/5,765
  6. Step 6: Final answer
    x = 4,528.09

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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.