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Finding the Fourth Proportional to 7,128.08, 9,839.50 and 6,380.72

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Solution

The fourth proportional to 7,128.08, 9,839.50 and 6,380.72 is: 8,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.08 : 9,839.50 = 6,380.72 : x
  2. Step 2: Convert to fraction form
    7,128.08/9,839.50 = 6,380.72/x
  3. Step 3: Cross multiply
    7,128.08x = 9,839.50 × 6,380.72
  4. Step 4: Simplify right side
    7,128.08x = 62,783,094.44
  5. Step 5: Solve for x
    x = 62,783,094.44/7,128.08
  6. Step 6: Final answer
    x = 8,807.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.