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Finding the Fourth Proportional to 6,318, 9,476.96 and 1,638.00

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Solution

The fourth proportional to 6,318, 9,476.96 and 1,638.00 is: 2,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318 : 9,476.96 = 1,638.00 : x
  2. Step 2: Convert to fraction form
    6,318/9,476.96 = 1,638.00/x
  3. Step 3: Cross multiply
    6,318x = 9,476.96 × 1,638.00
  4. Step 4: Simplify right side
    6,318x = 15,523,237.15
  5. Step 5: Solve for x
    x = 15,523,237.15/6,318
  6. Step 6: Final answer
    x = 2,456.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.