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Finding the Fourth Proportional to 2,126, 3,189 and 971.76

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Solution

The fourth proportional to 2,126, 3,189 and 971.76 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126 : 3,189 = 971.76 : x
  2. Step 2: Convert to fraction form
    2,126/3,189 = 971.76/x
  3. Step 3: Cross multiply
    2,126x = 3,189 × 971.76
  4. Step 4: Simplify right side
    2,126x = 3,098,942.64
  5. Step 5: Solve for x
    x = 3,098,942.64/2,126
  6. Step 6: Final answer
    x = 1,457.64

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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.