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Finding the Fourth Proportional to 2,321.70, 3,486.69 and 1,706.64

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Solution

The fourth proportional to 2,321.70, 3,486.69 and 1,706.64 is: 2,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.70 : 3,486.69 = 1,706.64 : x
  2. Step 2: Convert to fraction form
    2,321.70/3,486.69 = 1,706.64/x
  3. Step 3: Cross multiply
    2,321.70x = 3,486.69 × 1,706.64
  4. Step 4: Simplify right side
    2,321.70x = 5,950,524.62
  5. Step 5: Solve for x
    x = 5,950,524.62/2,321.70
  6. Step 6: Final answer
    x = 2,563.00

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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.