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Finding the Fourth Proportional to 2,738.96, 3,780.72 and 2,149.64

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Solution

The fourth proportional to 2,738.96, 3,780.72 and 2,149.64 is: 2,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.96 : 3,780.72 = 2,149.64 : x
  2. Step 2: Convert to fraction form
    2,738.96/3,780.72 = 2,149.64/x
  3. Step 3: Cross multiply
    2,738.96x = 3,780.72 × 2,149.64
  4. Step 4: Simplify right side
    2,738.96x = 8,127,186.94
  5. Step 5: Solve for x
    x = 8,127,186.94/2,738.96
  6. Step 6: Final answer
    x = 2,967.25

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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.