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Finding the Fourth Proportional to 2,180.86, 3,270.93 and 641.50

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Solution

The fourth proportional to 2,180.86, 3,270.93 and 641.50 is: 962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.86 : 3,270.93 = 641.50 : x
  2. Step 2: Convert to fraction form
    2,180.86/3,270.93 = 641.50/x
  3. Step 3: Cross multiply
    2,180.86x = 3,270.93 × 641.50
  4. Step 4: Simplify right side
    2,180.86x = 2,098,301.60
  5. Step 5: Solve for x
    x = 2,098,301.60/2,180.86
  6. Step 6: Final answer
    x = 962.14

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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.