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Finding the Fourth Proportional to 6,433.56, 8,877 and 3,638.52

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Solution

The fourth proportional to 6,433.56, 8,877 and 3,638.52 is: 5,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.56 : 8,877 = 3,638.52 : x
  2. Step 2: Convert to fraction form
    6,433.56/8,877 = 3,638.52/x
  3. Step 3: Cross multiply
    6,433.56x = 8,877 × 3,638.52
  4. Step 4: Simplify right side
    6,433.56x = 32,299,142.04
  5. Step 5: Solve for x
    x = 32,299,142.04/6,433.56
  6. Step 6: Final answer
    x = 5,020.42

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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.