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Finding the Fourth Proportional to 1,414, 1,950.96 and 971.76

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Solution

The fourth proportional to 1,414, 1,950.96 and 971.76 is: 1,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414 : 1,950.96 = 971.76 : x
  2. Step 2: Convert to fraction form
    1,414/1,950.96 = 971.76/x
  3. Step 3: Cross multiply
    1,414x = 1,950.96 × 971.76
  4. Step 4: Simplify right side
    1,414x = 1,895,864.89
  5. Step 5: Solve for x
    x = 1,895,864.89/1,414
  6. Step 6: Final answer
    x = 1,340.78

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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.