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Finding the Fourth Proportional to 2,141, 3,212.70 and 2,124.68

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Solution

The fourth proportional to 2,141, 3,212.70 and 2,124.68 is: 3,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141 : 3,212.70 = 2,124.68 : x
  2. Step 2: Convert to fraction form
    2,141/3,212.70 = 2,124.68/x
  3. Step 3: Cross multiply
    2,141x = 3,212.70 × 2,124.68
  4. Step 4: Simplify right side
    2,141x = 6,825,959.44
  5. Step 5: Solve for x
    x = 6,825,959.44/2,141
  6. Step 6: Final answer
    x = 3,188.21

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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.