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Finding the Fourth Proportional to 6,425.36, 8,861.92 and 4,188

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Solution

The fourth proportional to 6,425.36, 8,861.92 and 4,188 is: 5,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.36 : 8,861.92 = 4,188 : x
  2. Step 2: Convert to fraction form
    6,425.36/8,861.92 = 4,188/x
  3. Step 3: Cross multiply
    6,425.36x = 8,861.92 × 4,188
  4. Step 4: Simplify right side
    6,425.36x = 37,113,720.96
  5. Step 5: Solve for x
    x = 37,113,720.96/6,425.36
  6. Step 6: Final answer
    x = 5,776.13

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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.