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Finding the Fourth Proportional to 3,777.38, 5,657.81 and 2,678.41

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Solution

The fourth proportional to 3,777.38, 5,657.81 and 2,678.41 is: 4,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.38 : 5,657.81 = 2,678.41 : x
  2. Step 2: Convert to fraction form
    3,777.38/5,657.81 = 2,678.41/x
  3. Step 3: Cross multiply
    3,777.38x = 5,657.81 × 2,678.41
  4. Step 4: Simplify right side
    3,777.38x = 15,153,934.88
  5. Step 5: Solve for x
    x = 15,153,934.88/3,777.38
  6. Step 6: Final answer
    x = 4,011.76

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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.