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Finding the Fourth Proportional to 8,195.89, 11,311.80 and 4,838.51

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Solution

The fourth proportional to 8,195.89, 11,311.80 and 4,838.51 is: 6,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.89 : 11,311.80 = 4,838.51 : x
  2. Step 2: Convert to fraction form
    8,195.89/11,311.80 = 4,838.51/x
  3. Step 3: Cross multiply
    8,195.89x = 11,311.80 × 4,838.51
  4. Step 4: Simplify right side
    8,195.89x = 54,732,200.86
  5. Step 5: Solve for x
    x = 54,732,200.86/8,195.89
  6. Step 6: Final answer
    x = 6,678.01

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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.