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Finding the Fourth Proportional to 3,894.40, 5,384.64 and 3,402.56

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Solution

The fourth proportional to 3,894.40, 5,384.64 and 3,402.56 is: 4,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.40 : 5,384.64 = 3,402.56 : x
  2. Step 2: Convert to fraction form
    3,894.40/5,384.64 = 3,402.56/x
  3. Step 3: Cross multiply
    3,894.40x = 5,384.64 × 3,402.56
  4. Step 4: Simplify right side
    3,894.40x = 18,321,560.68
  5. Step 5: Solve for x
    x = 18,321,560.68/3,894.40
  6. Step 6: Final answer
    x = 4,704.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.