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Finding the Fourth Proportional to 2,124.97, 3,188.06 and 664.23

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Solution

The fourth proportional to 2,124.97, 3,188.06 and 664.23 is: 996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.97 : 3,188.06 = 664.23 : x
  2. Step 2: Convert to fraction form
    2,124.97/3,188.06 = 664.23/x
  3. Step 3: Cross multiply
    2,124.97x = 3,188.06 × 664.23
  4. Step 4: Simplify right side
    2,124.97x = 2,117,601.77
  5. Step 5: Solve for x
    x = 2,117,601.77/2,124.97
  6. Step 6: Final answer
    x = 996.53

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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.