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Finding the Fourth Proportional to 4,757.85, 7,138.16 and 1,983.09

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Solution

The fourth proportional to 4,757.85, 7,138.16 and 1,983.09 is: 2,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.85 : 7,138.16 = 1,983.09 : x
  2. Step 2: Convert to fraction form
    4,757.85/7,138.16 = 1,983.09/x
  3. Step 3: Cross multiply
    4,757.85x = 7,138.16 × 1,983.09
  4. Step 4: Simplify right side
    4,757.85x = 14,155,613.71
  5. Step 5: Solve for x
    x = 14,155,613.71/4,757.85
  6. Step 6: Final answer
    x = 2,975.21

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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.