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Finding the Fourth Proportional to 4,758.96, 7,138.44 and 1,983.90

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Solution

The fourth proportional to 4,758.96, 7,138.44 and 1,983.90 is: 2,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.96 : 7,138.44 = 1,983.90 : x
  2. Step 2: Convert to fraction form
    4,758.96/7,138.44 = 1,983.90/x
  3. Step 3: Cross multiply
    4,758.96x = 7,138.44 × 1,983.90
  4. Step 4: Simplify right side
    4,758.96x = 14,161,951.12
  5. Step 5: Solve for x
    x = 14,161,951.12/4,758.96
  6. Step 6: Final answer
    x = 2,975.85

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1.5x scale

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.