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Finding the Fourth Proportional to 4,872.69, 6,722.72 and 2,982.30

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Solution

The fourth proportional to 4,872.69, 6,722.72 and 2,982.30 is: 4,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.69 : 6,722.72 = 2,982.30 : x
  2. Step 2: Convert to fraction form
    4,872.69/6,722.72 = 2,982.30/x
  3. Step 3: Cross multiply
    4,872.69x = 6,722.72 × 2,982.30
  4. Step 4: Simplify right side
    4,872.69x = 20,049,167.86
  5. Step 5: Solve for x
    x = 20,049,167.86/4,872.69
  6. Step 6: Final answer
    x = 4,114.60

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1.5x scale

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.