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Finding the Fourth Proportional to 3,476.42, 5,214.56 and 843.88

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Solution

The fourth proportional to 3,476.42, 5,214.56 and 843.88 is: 1,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.42 : 5,214.56 = 843.88 : x
  2. Step 2: Convert to fraction form
    3,476.42/5,214.56 = 843.88/x
  3. Step 3: Cross multiply
    3,476.42x = 5,214.56 × 843.88
  4. Step 4: Simplify right side
    3,476.42x = 4,400,445.64
  5. Step 5: Solve for x
    x = 4,400,445.64/3,476.42
  6. Step 6: Final answer
    x = 1,265.80

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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.