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Finding the Fourth Proportional to 3,412.59, 5,114.97 and 1,658.49

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Solution

The fourth proportional to 3,412.59, 5,114.97 and 1,658.49 is: 2,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.59 : 5,114.97 = 1,658.49 : x
  2. Step 2: Convert to fraction form
    3,412.59/5,114.97 = 1,658.49/x
  3. Step 3: Cross multiply
    3,412.59x = 5,114.97 × 1,658.49
  4. Step 4: Simplify right side
    3,412.59x = 8,483,126.60
  5. Step 5: Solve for x
    x = 8,483,126.60/3,412.59
  6. Step 6: Final answer
    x = 2,485.83

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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.