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Finding the Fourth Proportional to 3,409.98, 5,118.20 and 1,767.70

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Solution

The fourth proportional to 3,409.98, 5,118.20 and 1,767.70 is: 2,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.98 : 5,118.20 = 1,767.70 : x
  2. Step 2: Convert to fraction form
    3,409.98/5,118.20 = 1,767.70/x
  3. Step 3: Cross multiply
    3,409.98x = 5,118.20 × 1,767.70
  4. Step 4: Simplify right side
    3,409.98x = 9,047,442.14
  5. Step 5: Solve for x
    x = 9,047,442.14/3,409.98
  6. Step 6: Final answer
    x = 2,653.22

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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.