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Finding the Fourth Proportional to 2,125.78, 3,188.46 and 664.89

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Solution

The fourth proportional to 2,125.78, 3,188.46 and 664.89 is: 997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.78 : 3,188.46 = 664.89 : x
  2. Step 2: Convert to fraction form
    2,125.78/3,188.46 = 664.89/x
  3. Step 3: Cross multiply
    2,125.78x = 3,188.46 × 664.89
  4. Step 4: Simplify right side
    2,125.78x = 2,119,975.17
  5. Step 5: Solve for x
    x = 2,119,975.17/2,125.78
  6. Step 6: Final answer
    x = 997.27

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1.5x scale

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.