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Finding the Fourth Proportional to 4,983.50, 7,471.50 and 3,009.80

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Solution

The fourth proportional to 4,983.50, 7,471.50 and 3,009.80 is: 4,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.50 : 7,471.50 = 3,009.80 : x
  2. Step 2: Convert to fraction form
    4,983.50/7,471.50 = 3,009.80/x
  3. Step 3: Cross multiply
    4,983.50x = 7,471.50 × 3,009.80
  4. Step 4: Simplify right side
    4,983.50x = 22,487,720.70
  5. Step 5: Solve for x
    x = 22,487,720.70/4,983.50
  6. Step 6: Final answer
    x = 4,512.44

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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.