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Finding the Fourth Proportional to 2,143.76, 2,958.12 and 1,212.08

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Solution

The fourth proportional to 2,143.76, 2,958.12 and 1,212.08 is: 1,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.76 : 2,958.12 = 1,212.08 : x
  2. Step 2: Convert to fraction form
    2,143.76/2,958.12 = 1,212.08/x
  3. Step 3: Cross multiply
    2,143.76x = 2,958.12 × 1,212.08
  4. Step 4: Simplify right side
    2,143.76x = 3,585,478.09
  5. Step 5: Solve for x
    x = 3,585,478.09/2,143.76
  6. Step 6: Final answer
    x = 1,672.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.