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Finding the Fourth Proportional to 6,325.50, 8,731.20 and 3,672.38

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Solution

The fourth proportional to 6,325.50, 8,731.20 and 3,672.38 is: 5,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.50 : 8,731.20 = 3,672.38 : x
  2. Step 2: Convert to fraction form
    6,325.50/8,731.20 = 3,672.38/x
  3. Step 3: Cross multiply
    6,325.50x = 8,731.20 × 3,672.38
  4. Step 4: Simplify right side
    6,325.50x = 32,064,284.26
  5. Step 5: Solve for x
    x = 32,064,284.26/6,325.50
  6. Step 6: Final answer
    x = 5,069.05

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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.