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Finding the Fourth Proportional to 5,676, 7,832.88 and 4,677.60

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Solution

The fourth proportional to 5,676, 7,832.88 and 4,677.60 is: 6,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 7,832.88 = 4,677.60 : x
  2. Step 2: Convert to fraction form
    5,676/7,832.88 = 4,677.60/x
  3. Step 3: Cross multiply
    5,676x = 7,832.88 × 4,677.60
  4. Step 4: Simplify right side
    5,676x = 36,639,079.49
  5. Step 5: Solve for x
    x = 36,639,079.49/5,676
  6. Step 6: Final answer
    x = 6,455.09

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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.