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Finding the Fourth Proportional to 6,342.84, 8,747.74 and 3,824.40

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Solution

The fourth proportional to 6,342.84, 8,747.74 and 3,824.40 is: 5,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.84 : 8,747.74 = 3,824.40 : x
  2. Step 2: Convert to fraction form
    6,342.84/8,747.74 = 3,824.40/x
  3. Step 3: Cross multiply
    6,342.84x = 8,747.74 × 3,824.40
  4. Step 4: Simplify right side
    6,342.84x = 33,454,856.86
  5. Step 5: Solve for x
    x = 33,454,856.86/6,342.84
  6. Step 6: Final answer
    x = 5,274.43

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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.