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Finding the Fourth Proportional to 3,853.56, 5,781.26 and 1,256.50

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Solution

The fourth proportional to 3,853.56, 5,781.26 and 1,256.50 is: 1,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.56 : 5,781.26 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    3,853.56/5,781.26 = 1,256.50/x
  3. Step 3: Cross multiply
    3,853.56x = 5,781.26 × 1,256.50
  4. Step 4: Simplify right side
    3,853.56x = 7,264,153.19
  5. Step 5: Solve for x
    x = 7,264,153.19/3,853.56
  6. Step 6: Final answer
    x = 1,885.05

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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.