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Finding the Fourth Proportional to 3,853.92, 5,781.52 and 1,256.80

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Solution

The fourth proportional to 3,853.92, 5,781.52 and 1,256.80 is: 1,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.92 : 5,781.52 = 1,256.80 : x
  2. Step 2: Convert to fraction form
    3,853.92/5,781.52 = 1,256.80/x
  3. Step 3: Cross multiply
    3,853.92x = 5,781.52 × 1,256.80
  4. Step 4: Simplify right side
    3,853.92x = 7,266,214.34
  5. Step 5: Solve for x
    x = 7,266,214.34/3,853.92
  6. Step 6: Final answer
    x = 1,885.41

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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.