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Finding the Fourth Proportional to 5,230.62, 7,845.69 and 1,767.90

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Solution

The fourth proportional to 5,230.62, 7,845.69 and 1,767.90 is: 2,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.62 : 7,845.69 = 1,767.90 : x
  2. Step 2: Convert to fraction form
    5,230.62/7,845.69 = 1,767.90/x
  3. Step 3: Cross multiply
    5,230.62x = 7,845.69 × 1,767.90
  4. Step 4: Simplify right side
    5,230.62x = 13,870,395.35
  5. Step 5: Solve for x
    x = 13,870,395.35/5,230.62
  6. Step 6: Final answer
    x = 2,651.77

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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.