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Finding the Fourth Proportional to 2,983.20, 4,479.60 and 2,253.60

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Solution

The fourth proportional to 2,983.20, 4,479.60 and 2,253.60 is: 3,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.20 : 4,479.60 = 2,253.60 : x
  2. Step 2: Convert to fraction form
    2,983.20/4,479.60 = 2,253.60/x
  3. Step 3: Cross multiply
    2,983.20x = 4,479.60 × 2,253.60
  4. Step 4: Simplify right side
    2,983.20x = 10,095,226.56
  5. Step 5: Solve for x
    x = 10,095,226.56/2,983.20
  6. Step 6: Final answer
    x = 3,384.03

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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.