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Finding the Fourth Proportional to 2,149.60, 3,223.60 and 610.08

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Solution

The fourth proportional to 2,149.60, 3,223.60 and 610.08 is: 914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.60 : 3,223.60 = 610.08 : x
  2. Step 2: Convert to fraction form
    2,149.60/3,223.60 = 610.08/x
  3. Step 3: Cross multiply
    2,149.60x = 3,223.60 × 610.08
  4. Step 4: Simplify right side
    2,149.60x = 1,966,653.89
  5. Step 5: Solve for x
    x = 1,966,653.89/2,149.60
  6. Step 6: Final answer
    x = 914.89

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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.