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Finding the Fourth Proportional to 5,338.45, 8,009.03 and 2,051.78

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Solution

The fourth proportional to 5,338.45, 8,009.03 and 2,051.78 is: 3,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.45 : 8,009.03 = 2,051.78 : x
  2. Step 2: Convert to fraction form
    5,338.45/8,009.03 = 2,051.78/x
  3. Step 3: Cross multiply
    5,338.45x = 8,009.03 × 2,051.78
  4. Step 4: Simplify right side
    5,338.45x = 16,432,767.57
  5. Step 5: Solve for x
    x = 16,432,767.57/5,338.45
  6. Step 6: Final answer
    x = 3,078.19

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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.