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Finding the Fourth Proportional to 3,367.72, 5,051.02 and 902.80

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Solution

The fourth proportional to 3,367.72, 5,051.02 and 902.80 is: 1,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.72 : 5,051.02 = 902.80 : x
  2. Step 2: Convert to fraction form
    3,367.72/5,051.02 = 902.80/x
  3. Step 3: Cross multiply
    3,367.72x = 5,051.02 × 902.80
  4. Step 4: Simplify right side
    3,367.72x = 4,560,060.86
  5. Step 5: Solve for x
    x = 4,560,060.86/3,367.72
  6. Step 6: Final answer
    x = 1,354.05

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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.