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Finding the Fourth Proportional to 3,937.68, 5,435.76 and 2,447.64

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Solution

The fourth proportional to 3,937.68, 5,435.76 and 2,447.64 is: 3,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.68 : 5,435.76 = 2,447.64 : x
  2. Step 2: Convert to fraction form
    3,937.68/5,435.76 = 2,447.64/x
  3. Step 3: Cross multiply
    3,937.68x = 5,435.76 × 2,447.64
  4. Step 4: Simplify right side
    3,937.68x = 13,304,783.61
  5. Step 5: Solve for x
    x = 13,304,783.61/3,937.68
  6. Step 6: Final answer
    x = 3,378.84

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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.