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Finding the Fourth Proportional to 5,297.89, 7,945.50 and 2,178.77

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Solution

The fourth proportional to 5,297.89, 7,945.50 and 2,178.77 is: 3,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.89 : 7,945.50 = 2,178.77 : x
  2. Step 2: Convert to fraction form
    5,297.89/7,945.50 = 2,178.77/x
  3. Step 3: Cross multiply
    5,297.89x = 7,945.50 × 2,178.77
  4. Step 4: Simplify right side
    5,297.89x = 17,311,377.31
  5. Step 5: Solve for x
    x = 17,311,377.31/5,297.89
  6. Step 6: Final answer
    x = 3,267.60

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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.