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Finding the Fourth Proportional to 6,330.88, 8,736.32 and 3,678.40

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Solution

The fourth proportional to 6,330.88, 8,736.32 and 3,678.40 is: 5,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.88 : 8,736.32 = 3,678.40 : x
  2. Step 2: Convert to fraction form
    6,330.88/8,736.32 = 3,678.40/x
  3. Step 3: Cross multiply
    6,330.88x = 8,736.32 × 3,678.40
  4. Step 4: Simplify right side
    6,330.88x = 32,135,679.49
  5. Step 5: Solve for x
    x = 32,135,679.49/6,330.88
  6. Step 6: Final answer
    x = 5,076.02

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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.