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Finding the Fourth Proportional to 3,737, 5,157.06 and 2,853.80

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Solution

The fourth proportional to 3,737, 5,157.06 and 2,853.80 is: 3,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737 : 5,157.06 = 2,853.80 : x
  2. Step 2: Convert to fraction form
    3,737/5,157.06 = 2,853.80/x
  3. Step 3: Cross multiply
    3,737x = 5,157.06 × 2,853.80
  4. Step 4: Simplify right side
    3,737x = 14,717,217.83
  5. Step 5: Solve for x
    x = 14,717,217.83/3,737
  6. Step 6: Final answer
    x = 3,938.24

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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.