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Finding the Fourth Proportional to 3,706.80, 5,113.44 and 3,006.96

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Solution

The fourth proportional to 3,706.80, 5,113.44 and 3,006.96 is: 4,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.80 : 5,113.44 = 3,006.96 : x
  2. Step 2: Convert to fraction form
    3,706.80/5,113.44 = 3,006.96/x
  3. Step 3: Cross multiply
    3,706.80x = 5,113.44 × 3,006.96
  4. Step 4: Simplify right side
    3,706.80x = 15,375,909.54
  5. Step 5: Solve for x
    x = 15,375,909.54/3,706.80
  6. Step 6: Final answer
    x = 4,148.03

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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.