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Finding the Fourth Proportional to 3,853.94, 5,780.43 and 1,660.86

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Solution

The fourth proportional to 3,853.94, 5,780.43 and 1,660.86 is: 2,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.94 : 5,780.43 = 1,660.86 : x
  2. Step 2: Convert to fraction form
    3,853.94/5,780.43 = 1,660.86/x
  3. Step 3: Cross multiply
    3,853.94x = 5,780.43 × 1,660.86
  4. Step 4: Simplify right side
    3,853.94x = 9,600,484.97
  5. Step 5: Solve for x
    x = 9,600,484.97/3,853.94
  6. Step 6: Final answer
    x = 2,491.09

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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.