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Finding the Fourth Proportional to 3,706.62, 5,113.42 and 2,133.80

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Solution

The fourth proportional to 3,706.62, 5,113.42 and 2,133.80 is: 2,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.62 : 5,113.42 = 2,133.80 : x
  2. Step 2: Convert to fraction form
    3,706.62/5,113.42 = 2,133.80/x
  3. Step 3: Cross multiply
    3,706.62x = 5,113.42 × 2,133.80
  4. Step 4: Simplify right side
    3,706.62x = 10,911,023.05
  5. Step 5: Solve for x
    x = 10,911,023.05/3,706.62
  6. Step 6: Final answer
    x = 2,943.66

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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.