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Finding the Fourth Proportional to 2,125.60, 3,187.54 and 664.36

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Solution

The fourth proportional to 2,125.60, 3,187.54 and 664.36 is: 996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.60 : 3,187.54 = 664.36 : x
  2. Step 2: Convert to fraction form
    2,125.60/3,187.54 = 664.36/x
  3. Step 3: Cross multiply
    2,125.60x = 3,187.54 × 664.36
  4. Step 4: Simplify right side
    2,125.60x = 2,117,674.07
  5. Step 5: Solve for x
    x = 2,117,674.07/2,125.60
  6. Step 6: Final answer
    x = 996.27

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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.