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Finding the Fourth Proportional to 3,853.76, 5,780.64 and 1,256.96

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Solution

The fourth proportional to 3,853.76, 5,780.64 and 1,256.96 is: 1,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.76 : 5,780.64 = 1,256.96 : x
  2. Step 2: Convert to fraction form
    3,853.76/5,780.64 = 1,256.96/x
  3. Step 3: Cross multiply
    3,853.76x = 5,780.64 × 1,256.96
  4. Step 4: Simplify right side
    3,853.76x = 7,266,033.25
  5. Step 5: Solve for x
    x = 7,266,033.25/3,853.76
  6. Step 6: Final answer
    x = 1,885.44

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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.